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Finding the Fourth Proportional to 83,705.77, 115,514.76 and 45,980.02

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Solution

The fourth proportional to 83,705.77, 115,514.76 and 45,980.02 is: 63,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,705.77 : 115,514.76 = 45,980.02 : x
  2. Step 2: Convert to fraction form
    83,705.77/115,514.76 = 45,980.02/x
  3. Step 3: Cross multiply
    83,705.77x = 115,514.76 × 45,980.02
  4. Step 4: Simplify right side
    83,705.77x = 5,311,370,975.10
  5. Step 5: Solve for x
    x = 5,311,370,975.10/83,705.77
  6. Step 6: Final answer
    x = 63,452.87

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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.