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Finding the Fourth Proportional to 119,692.16, 165,078.24 and 105,320.96

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Solution

The fourth proportional to 119,692.16, 165,078.24 and 105,320.96 is: 145,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,692.16 : 165,078.24 = 105,320.96 : x
  2. Step 2: Convert to fraction form
    119,692.16/165,078.24 = 105,320.96/x
  3. Step 3: Cross multiply
    119,692.16x = 165,078.24 × 105,320.96
  4. Step 4: Simplify right side
    119,692.16x = 17,386,198,711.91
  5. Step 5: Solve for x
    x = 17,386,198,711.91/119,692.16
  6. Step 6: Final answer
    x = 145,257.62

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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.