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Finding the Fourth Proportional to 100,697.34, 151,046.02 and 47,946.90

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Solution

The fourth proportional to 100,697.34, 151,046.02 and 47,946.90 is: 71,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,697.34 : 151,046.02 = 47,946.90 : x
  2. Step 2: Convert to fraction form
    100,697.34/151,046.02 = 47,946.90/x
  3. Step 3: Cross multiply
    100,697.34x = 151,046.02 × 47,946.90
  4. Step 4: Simplify right side
    100,697.34x = 7,242,188,416.34
  5. Step 5: Solve for x
    x = 7,242,188,416.34/100,697.34
  6. Step 6: Final answer
    x = 71,920.35

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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.