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Finding the Fourth Proportional to 146,008.02, 218,978.54 and 40,834.42

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Solution

The fourth proportional to 146,008.02, 218,978.54 and 40,834.42 is: 61,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,008.02 : 218,978.54 = 40,834.42 : x
  2. Step 2: Convert to fraction form
    146,008.02/218,978.54 = 40,834.42/x
  3. Step 3: Cross multiply
    146,008.02x = 218,978.54 × 40,834.42
  4. Step 4: Simplify right side
    146,008.02x = 8,941,861,673.35
  5. Step 5: Solve for x
    x = 8,941,861,673.35/146,008.02
  6. Step 6: Final answer
    x = 61,242.26

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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.