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Finding the Fourth Proportional to 120,263.90, 165,981.79 and 69,266.70

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Solution

The fourth proportional to 120,263.90, 165,981.79 and 69,266.70 is: 95,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,263.90 : 165,981.79 = 69,266.70 : x
  2. Step 2: Convert to fraction form
    120,263.90/165,981.79 = 69,266.70/x
  3. Step 3: Cross multiply
    120,263.90x = 165,981.79 × 69,266.70
  4. Step 4: Simplify right side
    120,263.90x = 11,497,010,939.98
  5. Step 5: Solve for x
    x = 11,497,010,939.98/120,263.90
  6. Step 6: Final answer
    x = 95,598.19

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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.