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Finding the Fourth Proportional to 66,529.30, 99,793.95 and 31,537.30

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Solution

The fourth proportional to 66,529.30, 99,793.95 and 31,537.30 is: 47,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,529.30 : 99,793.95 = 31,537.30 : x
  2. Step 2: Convert to fraction form
    66,529.30/99,793.95 = 31,537.30/x
  3. Step 3: Cross multiply
    66,529.30x = 99,793.95 × 31,537.30
  4. Step 4: Simplify right side
    66,529.30x = 3,147,231,739.34
  5. Step 5: Solve for x
    x = 3,147,231,739.34/66,529.30
  6. Step 6: Final answer
    x = 47,305.95

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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.