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Finding the Fourth Proportional to 83,369.56, 115,050 and 45,643.80

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Solution

The fourth proportional to 83,369.56, 115,050 and 45,643.80 is: 62,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,369.56 : 115,050 = 45,643.80 : x
  2. Step 2: Convert to fraction form
    83,369.56/115,050 = 45,643.80/x
  3. Step 3: Cross multiply
    83,369.56x = 115,050 × 45,643.80
  4. Step 4: Simplify right side
    83,369.56x = 5,251,319,190
  5. Step 5: Solve for x
    x = 5,251,319,190/83,369.56
  6. Step 6: Final answer
    x = 62,988.45

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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.