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Finding the Fourth Proportional to 100,720,829.16, 138,994,751.16 and 57,260,765.16

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Solution

The fourth proportional to 100,720,829.16, 138,994,751.16 and 57,260,765.16 is: 79,019,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,720,829.16 : 138,994,751.16 = 57,260,765.16 : x
  2. Step 2: Convert to fraction form
    100,720,829.16/138,994,751.16 = 57,260,765.16/x
  3. Step 3: Cross multiply
    100,720,829.16x = 138,994,751.16 × 57,260,765.16
  4. Step 4: Simplify right side
    100,720,829.16x = 7,958,945,804,645,397
  5. Step 5: Solve for x
    x = 7,958,945,804,645,397/100,720,829.16
  6. Step 6: Final answer
    x = 79,019,859.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.