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Finding the Fourth Proportional to 83,868, 115,737.84 and 46,143.60

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Solution

The fourth proportional to 83,868, 115,737.84 and 46,143.60 is: 63,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,868 : 115,737.84 = 46,143.60 : x
  2. Step 2: Convert to fraction form
    83,868/115,737.84 = 46,143.60/x
  3. Step 3: Cross multiply
    83,868x = 115,737.84 × 46,143.60
  4. Step 4: Simplify right side
    83,868x = 5,340,560,593.82
  5. Step 5: Solve for x
    x = 5,340,560,593.82/83,868
  6. Step 6: Final answer
    x = 63,678.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.