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Finding the Fourth Proportional to 261,847.92, 392,405.63 and 141,645.32

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Solution

The fourth proportional to 261,847.92, 392,405.63 and 141,645.32 is: 212,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,847.92 : 392,405.63 = 141,645.32 : x
  2. Step 2: Convert to fraction form
    261,847.92/392,405.63 = 141,645.32/x
  3. Step 3: Cross multiply
    261,847.92x = 392,405.63 × 141,645.32
  4. Step 4: Simplify right side
    261,847.92x = 55,582,418,360.90
  5. Step 5: Solve for x
    x = 55,582,418,360.90/261,847.92
  6. Step 6: Final answer
    x = 212,269.85

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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.