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Finding the Fourth Proportional to 261,782.88, 392,674.31 and 84,307.83

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Solution

The fourth proportional to 261,782.88, 392,674.31 and 84,307.83 is: 126,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,782.88 : 392,674.31 = 84,307.83 : x
  2. Step 2: Convert to fraction form
    261,782.88/392,674.31 = 84,307.83/x
  3. Step 3: Cross multiply
    261,782.88x = 392,674.31 × 84,307.83
  4. Step 4: Simplify right side
    261,782.88x = 33,105,518,972.85
  5. Step 5: Solve for x
    x = 33,105,518,972.85/261,782.88
  6. Step 6: Final answer
    x = 126,461.74

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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.