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Finding the Fourth Proportional to 98,338.32, 147,516.12 and 31,752.72

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Solution

The fourth proportional to 98,338.32, 147,516.12 and 31,752.72 is: 47,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,338.32 : 147,516.12 = 31,752.72 : x
  2. Step 2: Convert to fraction form
    98,338.32/147,516.12 = 31,752.72/x
  3. Step 3: Cross multiply
    98,338.32x = 147,516.12 × 31,752.72
  4. Step 4: Simplify right side
    98,338.32x = 4,684,038,053.85
  5. Step 5: Solve for x
    x = 4,684,038,053.85/98,338.32
  6. Step 6: Final answer
    x = 47,631.87

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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.