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Finding the Fourth Proportional to 137,640.81, 189,965.52 and 77,235.87

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Solution

The fourth proportional to 137,640.81, 189,965.52 and 77,235.87 is: 106,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640.81 : 189,965.52 = 77,235.87 : x
  2. Step 2: Convert to fraction form
    137,640.81/189,965.52 = 77,235.87/x
  3. Step 3: Cross multiply
    137,640.81x = 189,965.52 × 77,235.87
  4. Step 4: Simplify right side
    137,640.81x = 14,672,152,207.20
  5. Step 5: Solve for x
    x = 14,672,152,207.20/137,640.81
  6. Step 6: Final answer
    x = 106,597.40

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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.