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Finding the Fourth Proportional to 102,565.17, 141,491.41 and 66,742.11

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Solution

The fourth proportional to 102,565.17, 141,491.41 and 66,742.11 is: 92,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,565.17 : 141,491.41 = 66,742.11 : x
  2. Step 2: Convert to fraction form
    102,565.17/141,491.41 = 66,742.11/x
  3. Step 3: Cross multiply
    102,565.17x = 141,491.41 × 66,742.11
  4. Step 4: Simplify right side
    102,565.17x = 9,443,435,083.42
  5. Step 5: Solve for x
    x = 9,443,435,083.42/102,565.17
  6. Step 6: Final answer
    x = 92,072.53

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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.