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Finding the Fourth Proportional to 83,870, 115,741.68 and 46,143.44

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Solution

The fourth proportional to 83,870, 115,741.68 and 46,143.44 is: 63,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,870 : 115,741.68 = 46,143.44 : x
  2. Step 2: Convert to fraction form
    83,870/115,741.68 = 46,143.44/x
  3. Step 3: Cross multiply
    83,870x = 115,741.68 × 46,143.44
  4. Step 4: Simplify right side
    83,870x = 5,340,719,266.58
  5. Step 5: Solve for x
    x = 5,340,719,266.58/83,870
  6. Step 6: Final answer
    x = 63,678.54

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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.