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Finding the Fourth Proportional to 120,264.90, 165,983.17 and 69,267.70

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Solution

The fourth proportional to 120,264.90, 165,983.17 and 69,267.70 is: 95,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,264.90 : 165,983.17 = 69,267.70 : x
  2. Step 2: Convert to fraction form
    120,264.90/165,983.17 = 69,267.70/x
  3. Step 3: Cross multiply
    120,264.90x = 165,983.17 × 69,267.70
  4. Step 4: Simplify right side
    120,264.90x = 11,497,272,424.61
  5. Step 5: Solve for x
    x = 11,497,272,424.61/120,264.90
  6. Step 6: Final answer
    x = 95,599.57

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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.