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Finding the Fourth Proportional to 145,269, 217,969.23 and 74,154.92

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Solution

The fourth proportional to 145,269, 217,969.23 and 74,154.92 is: 111,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,269 : 217,969.23 = 74,154.92 : x
  2. Step 2: Convert to fraction form
    145,269/217,969.23 = 74,154.92/x
  3. Step 3: Cross multiply
    145,269x = 217,969.23 × 74,154.92
  4. Step 4: Simplify right side
    145,269x = 16,163,489,723.27
  5. Step 5: Solve for x
    x = 16,163,489,723.27/145,269
  6. Step 6: Final answer
    x = 111,265.93

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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.