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Finding the Fourth Proportional to 100,074.62, 138,055.26 and 61,820.40

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Solution

The fourth proportional to 100,074.62, 138,055.26 and 61,820.40 is: 85,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,074.62 : 138,055.26 = 61,820.40 : x
  2. Step 2: Convert to fraction form
    100,074.62/138,055.26 = 61,820.40/x
  3. Step 3: Cross multiply
    100,074.62x = 138,055.26 × 61,820.40
  4. Step 4: Simplify right side
    100,074.62x = 8,534,631,395.30
  5. Step 5: Solve for x
    x = 8,534,631,395.30/100,074.62
  6. Step 6: Final answer
    x = 85,282.68

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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.