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Finding the Fourth Proportional to 144,256.68, 216,385.02 and 45,753

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Solution

The fourth proportional to 144,256.68, 216,385.02 and 45,753 is: 68,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,256.68 : 216,385.02 = 45,753 : x
  2. Step 2: Convert to fraction form
    144,256.68/216,385.02 = 45,753/x
  3. Step 3: Cross multiply
    144,256.68x = 216,385.02 × 45,753
  4. Step 4: Simplify right side
    144,256.68x = 9,900,263,820.06
  5. Step 5: Solve for x
    x = 9,900,263,820.06/144,256.68
  6. Step 6: Final answer
    x = 68,629.50

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Similar ratio
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1.5x scale

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.