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Finding the Fourth Proportional to 261,816, 361,306.08 and 142,584

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Solution

The fourth proportional to 261,816, 361,306.08 and 142,584 is: 196,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,816 : 361,306.08 = 142,584 : x
  2. Step 2: Convert to fraction form
    261,816/361,306.08 = 142,584/x
  3. Step 3: Cross multiply
    261,816x = 361,306.08 × 142,584
  4. Step 4: Simplify right side
    261,816x = 51,516,466,110.72
  5. Step 5: Solve for x
    x = 51,516,466,110.72/261,816
  6. Step 6: Final answer
    x = 196,765.92

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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.