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Finding the Fourth Proportional to 78,876.86, 117,955.93 and 58,900.38

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Solution

The fourth proportional to 78,876.86, 117,955.93 and 58,900.38 is: 88,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,876.86 : 117,955.93 = 58,900.38 : x
  2. Step 2: Convert to fraction form
    78,876.86/117,955.93 = 58,900.38/x
  3. Step 3: Cross multiply
    78,876.86x = 117,955.93 × 58,900.38
  4. Step 4: Simplify right side
    78,876.86x = 6,947,649,100.25
  5. Step 5: Solve for x
    x = 6,947,649,100.25/78,876.86
  6. Step 6: Final answer
    x = 88,082.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.