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Finding the Fourth Proportional to 98,000.52, 147,014.52 and 31,425

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Solution

The fourth proportional to 98,000.52, 147,014.52 and 31,425 is: 47,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,000.52 : 147,014.52 = 31,425 : x
  2. Step 2: Convert to fraction form
    98,000.52/147,014.52 = 31,425/x
  3. Step 3: Cross multiply
    98,000.52x = 147,014.52 × 31,425
  4. Step 4: Simplify right side
    98,000.52x = 4,619,931,291
  5. Step 5: Solve for x
    x = 4,619,931,291/98,000.52
  6. Step 6: Final answer
    x = 47,141.91

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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.