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Finding the Fourth Proportional to 145,285.67, 217,941.02 and 40,104.65

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Solution

The fourth proportional to 145,285.67, 217,941.02 and 40,104.65 is: 60,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,285.67 : 217,941.02 = 40,104.65 : x
  2. Step 2: Convert to fraction form
    145,285.67/217,941.02 = 40,104.65/x
  3. Step 3: Cross multiply
    145,285.67x = 217,941.02 × 40,104.65
  4. Step 4: Simplify right side
    145,285.67x = 8,740,448,327.74
  5. Step 5: Solve for x
    x = 8,740,448,327.74/145,285.67
  6. Step 6: Final answer
    x = 60,160.43

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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.