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Finding the Fourth Proportional to 119,612, 165,064.56 and 69,340.16

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Solution

The fourth proportional to 119,612, 165,064.56 and 69,340.16 is: 95,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,612 : 165,064.56 = 69,340.16 : x
  2. Step 2: Convert to fraction form
    119,612/165,064.56 = 69,340.16/x
  3. Step 3: Cross multiply
    119,612x = 165,064.56 × 69,340.16
  4. Step 4: Simplify right side
    119,612x = 11,445,603,000.73
  5. Step 5: Solve for x
    x = 11,445,603,000.73/119,612
  6. Step 6: Final answer
    x = 95,689.42

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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.