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Finding the Fourth Proportional to 119,678.64, 165,314.28 and 89,411.37

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Solution

The fourth proportional to 119,678.64, 165,314.28 and 89,411.37 is: 123,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,678.64 : 165,314.28 = 89,411.37 : x
  2. Step 2: Convert to fraction form
    119,678.64/165,314.28 = 89,411.37/x
  3. Step 3: Cross multiply
    119,678.64x = 165,314.28 × 89,411.37
  4. Step 4: Simplify right side
    119,678.64x = 14,780,976,255.36
  5. Step 5: Solve for x
    x = 14,780,976,255.36/119,678.64
  6. Step 6: Final answer
    x = 123,505.55

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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.