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Finding the Fourth Proportional to 83,383.55, 115,068.15 and 45,657.80

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Solution

The fourth proportional to 83,383.55, 115,068.15 and 45,657.80 is: 63,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,383.55 : 115,068.15 = 45,657.80 : x
  2. Step 2: Convert to fraction form
    83,383.55/115,068.15 = 45,657.80/x
  3. Step 3: Cross multiply
    83,383.55x = 115,068.15 × 45,657.80
  4. Step 4: Simplify right side
    83,383.55x = 5,253,758,579.07
  5. Step 5: Solve for x
    x = 5,253,758,579.07/83,383.55
  6. Step 6: Final answer
    x = 63,007.13

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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.