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Finding the Fourth Proportional to 66,484.80, 99,682.56 and 31,392

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Solution

The fourth proportional to 66,484.80, 99,682.56 and 31,392 is: 47,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,484.80 : 99,682.56 = 31,392 : x
  2. Step 2: Convert to fraction form
    66,484.80/99,682.56 = 31,392/x
  3. Step 3: Cross multiply
    66,484.80x = 99,682.56 × 31,392
  4. Step 4: Simplify right side
    66,484.80x = 3,129,234,923.52
  5. Step 5: Solve for x
    x = 3,129,234,923.52/66,484.80
  6. Step 6: Final answer
    x = 47,066.92

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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.