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Finding the Fourth Proportional to 74,638.69, 103,132.54 and 59,655

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Solution

The fourth proportional to 74,638.69, 103,132.54 and 59,655 is: 82,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,638.69 : 103,132.54 = 59,655 : x
  2. Step 2: Convert to fraction form
    74,638.69/103,132.54 = 59,655/x
  3. Step 3: Cross multiply
    74,638.69x = 103,132.54 × 59,655
  4. Step 4: Simplify right side
    74,638.69x = 6,152,371,673.70
  5. Step 5: Solve for x
    x = 6,152,371,673.70/74,638.69
  6. Step 6: Final answer
    x = 82,428.72

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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.