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Finding the Fourth Proportional to 257,710.15, 386,680.04 and 99,950.90

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Solution

The fourth proportional to 257,710.15, 386,680.04 and 99,950.90 is: 149,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,710.15 : 386,680.04 = 99,950.90 : x
  2. Step 2: Convert to fraction form
    257,710.15/386,680.04 = 99,950.90/x
  3. Step 3: Cross multiply
    257,710.15x = 386,680.04 × 99,950.90
  4. Step 4: Simplify right side
    257,710.15x = 38,649,019,226.61
  5. Step 5: Solve for x
    x = 38,649,019,226.61/257,710.15
  6. Step 6: Final answer
    x = 149,970.89

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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.