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Finding the Fourth Proportional to 100,064.64, 138,102.72 and 57,622.08

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Solution

The fourth proportional to 100,064.64, 138,102.72 and 57,622.08 is: 79,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,064.64 : 138,102.72 = 57,622.08 : x
  2. Step 2: Convert to fraction form
    100,064.64/138,102.72 = 57,622.08/x
  3. Step 3: Cross multiply
    100,064.64x = 138,102.72 × 57,622.08
  4. Step 4: Simplify right side
    100,064.64x = 7,957,765,980.06
  5. Step 5: Solve for x
    x = 7,957,765,980.06/100,064.64
  6. Step 6: Final answer
    x = 79,526.25

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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.