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Finding the Fourth Proportional to 261,766.16, 392,765.88 and 137,078

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Solution

The fourth proportional to 261,766.16, 392,765.88 and 137,078 is: 205,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,766.16 : 392,765.88 = 137,078 : x
  2. Step 2: Convert to fraction form
    261,766.16/392,765.88 = 137,078/x
  3. Step 3: Cross multiply
    261,766.16x = 392,765.88 × 137,078
  4. Step 4: Simplify right side
    261,766.16x = 53,839,561,298.64
  5. Step 5: Solve for x
    x = 53,839,561,298.64/261,766.16
  6. Step 6: Final answer
    x = 205,678.08

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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.