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Finding the Fourth Proportional to 261,602, 392,406.70 and 74,613.50

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Solution

The fourth proportional to 261,602, 392,406.70 and 74,613.50 is: 111,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,602 : 392,406.70 = 74,613.50 : x
  2. Step 2: Convert to fraction form
    261,602/392,406.70 = 74,613.50/x
  3. Step 3: Cross multiply
    261,602x = 392,406.70 × 74,613.50
  4. Step 4: Simplify right side
    261,602x = 29,278,837,310.45
  5. Step 5: Solve for x
    x = 29,278,837,310.45/261,602
  6. Step 6: Final answer
    x = 111,921.31

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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.