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Finding the Fourth Proportional to 82,632, 124,397.60 and 75,283.68

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Solution

The fourth proportional to 82,632, 124,397.60 and 75,283.68 is: 113,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,632 : 124,397.60 = 75,283.68 : x
  2. Step 2: Convert to fraction form
    82,632/124,397.60 = 75,283.68/x
  3. Step 3: Cross multiply
    82,632x = 124,397.60 × 75,283.68
  4. Step 4: Simplify right side
    82,632x = 9,365,109,111.17
  5. Step 5: Solve for x
    x = 9,365,109,111.17/82,632
  6. Step 6: Final answer
    x = 113,335.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.