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Finding the Fourth Proportional to 261,855.52, 392,782.76 and 72,315.40

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Solution

The fourth proportional to 261,855.52, 392,782.76 and 72,315.40 is: 108,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,855.52 : 392,782.76 = 72,315.40 : x
  2. Step 2: Convert to fraction form
    261,855.52/392,782.76 = 72,315.40/x
  3. Step 3: Cross multiply
    261,855.52x = 392,782.76 × 72,315.40
  4. Step 4: Simplify right side
    261,855.52x = 28,404,241,058.97
  5. Step 5: Solve for x
    x = 28,404,241,058.97/261,855.52
  6. Step 6: Final answer
    x = 108,472.95

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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.