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Finding the Fourth Proportional to 268,000.65, 402,004.62 and 99,455.85

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Solution

The fourth proportional to 268,000.65, 402,004.62 and 99,455.85 is: 149,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,000.65 : 402,004.62 = 99,455.85 : x
  2. Step 2: Convert to fraction form
    268,000.65/402,004.62 = 99,455.85/x
  3. Step 3: Cross multiply
    268,000.65x = 402,004.62 × 99,455.85
  4. Step 4: Simplify right side
    268,000.65x = 39,981,711,186.03
  5. Step 5: Solve for x
    x = 39,981,711,186.03/268,000.65
  6. Step 6: Final answer
    x = 149,185.13

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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.