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Finding the Fourth Proportional to 83,583.72, 115,345.13 and 45,343.28

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Solution

The fourth proportional to 83,583.72, 115,345.13 and 45,343.28 is: 62,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583.72 : 115,345.13 = 45,343.28 : x
  2. Step 2: Convert to fraction form
    83,583.72/115,345.13 = 45,343.28/x
  3. Step 3: Cross multiply
    83,583.72x = 115,345.13 × 45,343.28
  4. Step 4: Simplify right side
    83,583.72x = 5,230,126,587.87
  5. Step 5: Solve for x
    x = 5,230,126,587.87/83,583.72
  6. Step 6: Final answer
    x = 62,573.51

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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.