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Finding the Fourth Proportional to 231,337.60, 347,006.40 and 65,125.60

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Solution

The fourth proportional to 231,337.60, 347,006.40 and 65,125.60 is: 97,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,337.60 : 347,006.40 = 65,125.60 : x
  2. Step 2: Convert to fraction form
    231,337.60/347,006.40 = 65,125.60/x
  3. Step 3: Cross multiply
    231,337.60x = 347,006.40 × 65,125.60
  4. Step 4: Simplify right side
    231,337.60x = 22,599,000,003.84
  5. Step 5: Solve for x
    x = 22,599,000,003.84/231,337.60
  6. Step 6: Final answer
    x = 97,688.40

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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.