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Finding the Fourth Proportional to 102,571.67, 141,437.31 and 66,695.15

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Solution

The fourth proportional to 102,571.67, 141,437.31 and 66,695.15 is: 91,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,571.67 : 141,437.31 = 66,695.15 : x
  2. Step 2: Convert to fraction form
    102,571.67/141,437.31 = 66,695.15/x
  3. Step 3: Cross multiply
    102,571.67x = 141,437.31 × 66,695.15
  4. Step 4: Simplify right side
    102,571.67x = 9,433,182,709.53
  5. Step 5: Solve for x
    x = 9,433,182,709.53/102,571.67
  6. Step 6: Final answer
    x = 91,966.74

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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.