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Finding the Fourth Proportional to 261,888.78, 392,848.70 and 82,007.85

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Solution

The fourth proportional to 261,888.78, 392,848.70 and 82,007.85 is: 123,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,888.78 : 392,848.70 = 82,007.85 : x
  2. Step 2: Convert to fraction form
    261,888.78/392,848.70 = 82,007.85/x
  3. Step 3: Cross multiply
    261,888.78x = 392,848.70 × 82,007.85
  4. Step 4: Simplify right side
    261,888.78x = 32,216,676,852.26
  5. Step 5: Solve for x
    x = 32,216,676,852.26/261,888.78
  6. Step 6: Final answer
    x = 123,016.64

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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.