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Finding the Fourth Proportional to 261,978.20, 392,967.30 and 72,438.20

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Solution

The fourth proportional to 261,978.20, 392,967.30 and 72,438.20 is: 108,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,978.20 : 392,967.30 = 72,438.20 : x
  2. Step 2: Convert to fraction form
    261,978.20/392,967.30 = 72,438.20/x
  3. Step 3: Cross multiply
    261,978.20x = 392,967.30 × 72,438.20
  4. Step 4: Simplify right side
    261,978.20x = 28,465,843,870.86
  5. Step 5: Solve for x
    x = 28,465,843,870.86/261,978.20
  6. Step 6: Final answer
    x = 108,657.30

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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.