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Finding the Fourth Proportional to 66,512.95, 99,769.43 and 31,520.95

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Solution

The fourth proportional to 66,512.95, 99,769.43 and 31,520.95 is: 47,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,512.95 : 99,769.43 = 31,520.95 : x
  2. Step 2: Convert to fraction form
    66,512.95/99,769.43 = 31,520.95/x
  3. Step 3: Cross multiply
    66,512.95x = 99,769.43 × 31,520.95
  4. Step 4: Simplify right side
    66,512.95x = 3,144,827,056.95
  5. Step 5: Solve for x
    x = 3,144,827,056.95/66,512.95
  6. Step 6: Final answer
    x = 47,281.43

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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.