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Finding the Fourth Proportional to 128,742, 193,113.27 and 54,870

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Solution

The fourth proportional to 128,742, 193,113.27 and 54,870 is: 82,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,742 : 193,113.27 = 54,870 : x
  2. Step 2: Convert to fraction form
    128,742/193,113.27 = 54,870/x
  3. Step 3: Cross multiply
    128,742x = 193,113.27 × 54,870
  4. Step 4: Simplify right side
    128,742x = 10,596,125,124.90
  5. Step 5: Solve for x
    x = 10,596,125,124.90/128,742
  6. Step 6: Final answer
    x = 82,305.12

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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.