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Finding the Fourth Proportional to 231,352.78, 347,029.05 and 65,140.78

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Solution

The fourth proportional to 231,352.78, 347,029.05 and 65,140.78 is: 97,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,352.78 : 347,029.05 = 65,140.78 : x
  2. Step 2: Convert to fraction form
    231,352.78/347,029.05 = 65,140.78/x
  3. Step 3: Cross multiply
    231,352.78x = 347,029.05 × 65,140.78
  4. Step 4: Simplify right side
    231,352.78x = 22,605,742,999.66
  5. Step 5: Solve for x
    x = 22,605,742,999.66/231,352.78
  6. Step 6: Final answer
    x = 97,711.14

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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.