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Finding the Fourth Proportional to 261,387.60, 360,713.21 and 145,099.81

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Solution

The fourth proportional to 261,387.60, 360,713.21 and 145,099.81 is: 200,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,387.60 : 360,713.21 = 145,099.81 : x
  2. Step 2: Convert to fraction form
    261,387.60/360,713.21 = 145,099.81/x
  3. Step 3: Cross multiply
    261,387.60x = 360,713.21 × 145,099.81
  4. Step 4: Simplify right side
    261,387.60x = 52,339,418,235.49
  5. Step 5: Solve for x
    x = 52,339,418,235.49/261,387.60
  6. Step 6: Final answer
    x = 200,236.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.