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Finding the Fourth Proportional to 119,892.92, 165,518.52 and 72,158

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Solution

The fourth proportional to 119,892.92, 165,518.52 and 72,158 is: 99,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,892.92 : 165,518.52 = 72,158 : x
  2. Step 2: Convert to fraction form
    119,892.92/165,518.52 = 72,158/x
  3. Step 3: Cross multiply
    119,892.92x = 165,518.52 × 72,158
  4. Step 4: Simplify right side
    119,892.92x = 11,943,485,366.16
  5. Step 5: Solve for x
    x = 11,943,485,366.16/119,892.92
  6. Step 6: Final answer
    x = 99,617.94

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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.