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Finding the Fourth Proportional to 137,550.59, 189,815.44 and 77,124.69

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Solution

The fourth proportional to 137,550.59, 189,815.44 and 77,124.69 is: 106,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,550.59 : 189,815.44 = 77,124.69 : x
  2. Step 2: Convert to fraction form
    137,550.59/189,815.44 = 77,124.69/x
  3. Step 3: Cross multiply
    137,550.59x = 189,815.44 × 77,124.69
  4. Step 4: Simplify right side
    137,550.59x = 14,639,456,967.21
  5. Step 5: Solve for x
    x = 14,639,456,967.21/137,550.59
  6. Step 6: Final answer
    x = 106,429.62

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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.