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Finding the Fourth Proportional to 137,458.40, 189,705.92 and 77,039.28

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Solution

The fourth proportional to 137,458.40, 189,705.92 and 77,039.28 is: 106,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,458.40 : 189,705.92 = 77,039.28 : x
  2. Step 2: Convert to fraction form
    137,458.40/189,705.92 = 77,039.28/x
  3. Step 3: Cross multiply
    137,458.40x = 189,705.92 × 77,039.28
  4. Step 4: Simplify right side
    137,458.40x = 14,614,807,488.54
  5. Step 5: Solve for x
    x = 14,614,807,488.54/137,458.40
  6. Step 6: Final answer
    x = 106,321.68

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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.