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Finding the Fourth Proportional to 144,378.32, 216,580.56 and 44,540

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Solution

The fourth proportional to 144,378.32, 216,580.56 and 44,540 is: 66,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,378.32 : 216,580.56 = 44,540 : x
  2. Step 2: Convert to fraction form
    144,378.32/216,580.56 = 44,540/x
  3. Step 3: Cross multiply
    144,378.32x = 216,580.56 × 44,540
  4. Step 4: Simplify right side
    144,378.32x = 9,646,498,142.40
  5. Step 5: Solve for x
    x = 9,646,498,142.40/144,378.32
  6. Step 6: Final answer
    x = 66,814.04

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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.