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Finding the Fourth Proportional to 261,853.88, 392,803.59 and 72,314.49

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Solution

The fourth proportional to 261,853.88, 392,803.59 and 72,314.49 is: 108,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,853.88 : 392,803.59 = 72,314.49 : x
  2. Step 2: Convert to fraction form
    261,853.88/392,803.59 = 72,314.49/x
  3. Step 3: Cross multiply
    261,853.88x = 392,803.59 × 72,314.49
  4. Step 4: Simplify right side
    261,853.88x = 28,405,391,281.02
  5. Step 5: Solve for x
    x = 28,405,391,281.02/261,853.88
  6. Step 6: Final answer
    x = 108,478.03

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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.