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Finding the Fourth Proportional to 261,803.84, 392,728.30 and 72,264.24

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Solution

The fourth proportional to 261,803.84, 392,728.30 and 72,264.24 is: 108,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,803.84 : 392,728.30 = 72,264.24 : x
  2. Step 2: Convert to fraction form
    261,803.84/392,728.30 = 72,264.24/x
  3. Step 3: Cross multiply
    261,803.84x = 392,728.30 × 72,264.24
  4. Step 4: Simplify right side
    261,803.84x = 28,380,210,264.77
  5. Step 5: Solve for x
    x = 28,380,210,264.77/261,803.84
  6. Step 6: Final answer
    x = 108,402.58

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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.