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Finding the Fourth Proportional to 66,496.60, 99,773.70 and 31,418.20

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Solution

The fourth proportional to 66,496.60, 99,773.70 and 31,418.20 is: 47,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,496.60 : 99,773.70 = 31,418.20 : x
  2. Step 2: Convert to fraction form
    66,496.60/99,773.70 = 31,418.20/x
  3. Step 3: Cross multiply
    66,496.60x = 99,773.70 × 31,418.20
  4. Step 4: Simplify right side
    66,496.60x = 3,134,710,061.34
  5. Step 5: Solve for x
    x = 3,134,710,061.34/66,496.60
  6. Step 6: Final answer
    x = 47,140.91

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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.