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Finding the Fourth Proportional to 144,646.20, 216,872.10 and 65,719.80

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Solution

The fourth proportional to 144,646.20, 216,872.10 and 65,719.80 is: 98,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,646.20 : 216,872.10 = 65,719.80 : x
  2. Step 2: Convert to fraction form
    144,646.20/216,872.10 = 65,719.80/x
  3. Step 3: Cross multiply
    144,646.20x = 216,872.10 × 65,719.80
  4. Step 4: Simplify right side
    144,646.20x = 14,252,791,037.58
  5. Step 5: Solve for x
    x = 14,252,791,037.58/144,646.20
  6. Step 6: Final answer
    x = 98,535.54

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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.