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Finding the Fourth Proportional to 83,675.47, 115,443.64 and 53,478.21

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Solution

The fourth proportional to 83,675.47, 115,443.64 and 53,478.21 is: 73,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,675.47 : 115,443.64 = 53,478.21 : x
  2. Step 2: Convert to fraction form
    83,675.47/115,443.64 = 53,478.21/x
  3. Step 3: Cross multiply
    83,675.47x = 115,443.64 × 53,478.21
  4. Step 4: Simplify right side
    83,675.47x = 6,173,719,223.08
  5. Step 5: Solve for x
    x = 6,173,719,223.08/83,675.47
  6. Step 6: Final answer
    x = 73,781.71

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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.