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Finding the Fourth Proportional to 280,061.68, 419,956.08 and 93,010

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Solution

The fourth proportional to 280,061.68, 419,956.08 and 93,010 is: 139,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,061.68 : 419,956.08 = 93,010 : x
  2. Step 2: Convert to fraction form
    280,061.68/419,956.08 = 93,010/x
  3. Step 3: Cross multiply
    280,061.68x = 419,956.08 × 93,010
  4. Step 4: Simplify right side
    280,061.68x = 39,060,115,000.80
  5. Step 5: Solve for x
    x = 39,060,115,000.80/280,061.68
  6. Step 6: Final answer
    x = 139,469.69

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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.