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Finding the Fourth Proportional to 145,540, 218,379.12 and 47,044

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Solution

The fourth proportional to 145,540, 218,379.12 and 47,044 is: 70,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,540 : 218,379.12 = 47,044 : x
  2. Step 2: Convert to fraction form
    145,540/218,379.12 = 47,044/x
  3. Step 3: Cross multiply
    145,540x = 218,379.12 × 47,044
  4. Step 4: Simplify right side
    145,540x = 10,273,427,321.28
  5. Step 5: Solve for x
    x = 10,273,427,321.28/145,540
  6. Step 6: Final answer
    x = 70,588.34

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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.