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Finding the Fourth Proportional to 231,486.87, 347,243.86 and 89,332.90

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Solution

The fourth proportional to 231,486.87, 347,243.86 and 89,332.90 is: 134,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,486.87 : 347,243.86 = 89,332.90 : x
  2. Step 2: Convert to fraction form
    231,486.87/347,243.86 = 89,332.90/x
  3. Step 3: Cross multiply
    231,486.87x = 347,243.86 × 89,332.90
  4. Step 4: Simplify right side
    231,486.87x = 31,020,300,264.55
  5. Step 5: Solve for x
    x = 31,020,300,264.55/231,486.87
  6. Step 6: Final answer
    x = 134,004.58

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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.