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Finding the Fourth Proportional to 83,980.80, 115,894.76 and 45,742.11

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Solution

The fourth proportional to 83,980.80, 115,894.76 and 45,742.11 is: 63,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.80 : 115,894.76 = 45,742.11 : x
  2. Step 2: Convert to fraction form
    83,980.80/115,894.76 = 45,742.11/x
  3. Step 3: Cross multiply
    83,980.80x = 115,894.76 × 45,742.11
  4. Step 4: Simplify right side
    83,980.80x = 5,301,270,631.63
  5. Step 5: Solve for x
    x = 5,301,270,631.63/83,980.80
  6. Step 6: Final answer
    x = 63,124.79

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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.