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Finding the Fourth Proportional to 98,006.52, 147,023.52 and 31,431

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Solution

The fourth proportional to 98,006.52, 147,023.52 and 31,431 is: 47,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,006.52 : 147,023.52 = 31,431 : x
  2. Step 2: Convert to fraction form
    98,006.52/147,023.52 = 31,431/x
  3. Step 3: Cross multiply
    98,006.52x = 147,023.52 × 31,431
  4. Step 4: Simplify right side
    98,006.52x = 4,621,096,257.12
  5. Step 5: Solve for x
    x = 4,621,096,257.12/98,006.52
  6. Step 6: Final answer
    x = 47,150.91

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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.