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Finding the Fourth Proportional to 144,799.60, 216,907.80 and 82,397.20

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Solution

The fourth proportional to 144,799.60, 216,907.80 and 82,397.20 is: 123,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,799.60 : 216,907.80 = 82,397.20 : x
  2. Step 2: Convert to fraction form
    144,799.60/216,907.80 = 82,397.20/x
  3. Step 3: Cross multiply
    144,799.60x = 216,907.80 × 82,397.20
  4. Step 4: Simplify right side
    144,799.60x = 17,872,595,378.16
  5. Step 5: Solve for x
    x = 17,872,595,378.16/144,799.60
  6. Step 6: Final answer
    x = 123,429.87

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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.