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Finding the Fourth Proportional to 145,191.64, 217,793.94 and 45,353.80

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Solution

The fourth proportional to 145,191.64, 217,793.94 and 45,353.80 is: 68,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,191.64 : 217,793.94 = 45,353.80 : x
  2. Step 2: Convert to fraction form
    145,191.64/217,793.94 = 45,353.80/x
  3. Step 3: Cross multiply
    145,191.64x = 217,793.94 × 45,353.80
  4. Step 4: Simplify right side
    145,191.64x = 9,877,782,795.97
  5. Step 5: Solve for x
    x = 9,877,782,795.97/145,191.64
  6. Step 6: Final answer
    x = 68,032.72

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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.