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Finding the Fourth Proportional to 144,758.75, 216,970.25 and 85,644.14

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Solution

The fourth proportional to 144,758.75, 216,970.25 and 85,644.14 is: 128,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,758.75 : 216,970.25 = 85,644.14 : x
  2. Step 2: Convert to fraction form
    144,758.75/216,970.25 = 85,644.14/x
  3. Step 3: Cross multiply
    144,758.75x = 216,970.25 × 85,644.14
  4. Step 4: Simplify right side
    144,758.75x = 18,582,228,953.76
  5. Step 5: Solve for x
    x = 18,582,228,953.76/144,758.75
  6. Step 6: Final answer
    x = 128,366.88

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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.