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Finding the Fourth Proportional to 83,412.90, 115,081.20 and 47,577.12

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Solution

The fourth proportional to 83,412.90, 115,081.20 and 47,577.12 is: 65,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,412.90 : 115,081.20 = 47,577.12 : x
  2. Step 2: Convert to fraction form
    83,412.90/115,081.20 = 47,577.12/x
  3. Step 3: Cross multiply
    83,412.90x = 115,081.20 × 47,577.12
  4. Step 4: Simplify right side
    83,412.90x = 5,475,232,062.14
  5. Step 5: Solve for x
    x = 5,475,232,062.14/83,412.90
  6. Step 6: Final answer
    x = 65,640.11

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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.