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Finding the Fourth Proportional to 102,147.66, 140,641.65 and 92,689.02

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Solution

The fourth proportional to 102,147.66, 140,641.65 and 92,689.02 is: 127,618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,147.66 : 140,641.65 = 92,689.02 : x
  2. Step 2: Convert to fraction form
    102,147.66/140,641.65 = 92,689.02/x
  3. Step 3: Cross multiply
    102,147.66x = 140,641.65 × 92,689.02
  4. Step 4: Simplify right side
    102,147.66x = 13,035,936,709.68
  5. Step 5: Solve for x
    x = 13,035,936,709.68/102,147.66
  6. Step 6: Final answer
    x = 127,618.55

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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.