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Finding the Fourth Proportional to 83,765, 115,543.80 and 55,088

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Solution

The fourth proportional to 83,765, 115,543.80 and 55,088 is: 75,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,765 : 115,543.80 = 55,088 : x
  2. Step 2: Convert to fraction form
    83,765/115,543.80 = 55,088/x
  3. Step 3: Cross multiply
    83,765x = 115,543.80 × 55,088
  4. Step 4: Simplify right side
    83,765x = 6,365,076,854.40
  5. Step 5: Solve for x
    x = 6,365,076,854.40/83,765
  6. Step 6: Final answer
    x = 75,987.31

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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.