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Finding the Fourth Proportional to 66,150.60, 99,239.56 and 21,780

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Solution

The fourth proportional to 66,150.60, 99,239.56 and 21,780 is: 32,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,150.60 : 99,239.56 = 21,780 : x
  2. Step 2: Convert to fraction form
    66,150.60/99,239.56 = 21,780/x
  3. Step 3: Cross multiply
    66,150.60x = 99,239.56 × 21,780
  4. Step 4: Simplify right side
    66,150.60x = 2,161,437,616.80
  5. Step 5: Solve for x
    x = 2,161,437,616.80/66,150.60
  6. Step 6: Final answer
    x = 32,674.50

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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.