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Finding the Fourth Proportional to 100,388.68, 138,547.92 and 60,102.40

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Solution

The fourth proportional to 100,388.68, 138,547.92 and 60,102.40 is: 82,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,388.68 : 138,547.92 = 60,102.40 : x
  2. Step 2: Convert to fraction form
    100,388.68/138,547.92 = 60,102.40/x
  3. Step 3: Cross multiply
    100,388.68x = 138,547.92 × 60,102.40
  4. Step 4: Simplify right side
    100,388.68x = 8,327,062,507.01
  5. Step 5: Solve for x
    x = 8,327,062,507.01/100,388.68
  6. Step 6: Final answer
    x = 82,948.22

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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.