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Finding the Fourth Proportional to 66,503.32, 99,753.90 and 31,468.12

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Solution

The fourth proportional to 66,503.32, 99,753.90 and 31,468.12 is: 47,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,503.32 : 99,753.90 = 31,468.12 : x
  2. Step 2: Convert to fraction form
    66,503.32/99,753.90 = 31,468.12/x
  3. Step 3: Cross multiply
    66,503.32x = 99,753.90 × 31,468.12
  4. Step 4: Simplify right side
    66,503.32x = 3,139,067,695.67
  5. Step 5: Solve for x
    x = 3,139,067,695.67/66,503.32
  6. Step 6: Final answer
    x = 47,201.67

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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.