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Finding the Fourth Proportional to 137,502.96, 189,711.48 and 77,065.21

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Solution

The fourth proportional to 137,502.96, 189,711.48 and 77,065.21 is: 106,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,502.96 : 189,711.48 = 77,065.21 : x
  2. Step 2: Convert to fraction form
    137,502.96/189,711.48 = 77,065.21/x
  3. Step 3: Cross multiply
    137,502.96x = 189,711.48 × 77,065.21
  4. Step 4: Simplify right side
    137,502.96x = 14,620,155,045.61
  5. Step 5: Solve for x
    x = 14,620,155,045.61/137,502.96
  6. Step 6: Final answer
    x = 106,326.11

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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.