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Finding the Fourth Proportional to 137,677.92, 189,983.88 and 77,240.40

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Solution

The fourth proportional to 137,677.92, 189,983.88 and 77,240.40 is: 106,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,677.92 : 189,983.88 = 77,240.40 : x
  2. Step 2: Convert to fraction form
    137,677.92/189,983.88 = 77,240.40/x
  3. Step 3: Cross multiply
    137,677.92x = 189,983.88 × 77,240.40
  4. Step 4: Simplify right side
    137,677.92x = 14,674,430,884.75
  5. Step 5: Solve for x
    x = 14,674,430,884.75/137,677.92
  6. Step 6: Final answer
    x = 106,585.22

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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.