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Finding the Fourth Proportional to 231,493.20, 347,239.80 and 65,281.20

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Solution

The fourth proportional to 231,493.20, 347,239.80 and 65,281.20 is: 97,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,493.20 : 347,239.80 = 65,281.20 : x
  2. Step 2: Convert to fraction form
    231,493.20/347,239.80 = 65,281.20/x
  3. Step 3: Cross multiply
    231,493.20x = 347,239.80 × 65,281.20
  4. Step 4: Simplify right side
    231,493.20x = 22,668,230,831.76
  5. Step 5: Solve for x
    x = 22,668,230,831.76/231,493.20
  6. Step 6: Final answer
    x = 97,921.80

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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.