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Finding the Fourth Proportional to 66,119.76, 99,174.84 and 21,746

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Solution

The fourth proportional to 66,119.76, 99,174.84 and 21,746 is: 32,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,119.76 : 99,174.84 = 21,746 : x
  2. Step 2: Convert to fraction form
    66,119.76/99,174.84 = 21,746/x
  3. Step 3: Cross multiply
    66,119.76x = 99,174.84 × 21,746
  4. Step 4: Simplify right side
    66,119.76x = 2,156,656,070.64
  5. Step 5: Solve for x
    x = 2,156,656,070.64/66,119.76
  6. Step 6: Final answer
    x = 32,617.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.