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Finding the Fourth Proportional to 78,121.54, 107,818.50 and 47,901.52

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Solution

The fourth proportional to 78,121.54, 107,818.50 and 47,901.52 is: 66,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,121.54 : 107,818.50 = 47,901.52 : x
  2. Step 2: Convert to fraction form
    78,121.54/107,818.50 = 47,901.52/x
  3. Step 3: Cross multiply
    78,121.54x = 107,818.50 × 47,901.52
  4. Step 4: Simplify right side
    78,121.54x = 5,164,670,034.12
  5. Step 5: Solve for x
    x = 5,164,670,034.12/78,121.54
  6. Step 6: Final answer
    x = 66,110.70

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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.