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Finding the Fourth Proportional to 78,171.08, 107,876.75 and 45,897.30

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Solution

The fourth proportional to 78,171.08, 107,876.75 and 45,897.30 is: 63,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,171.08 : 107,876.75 = 45,897.30 : x
  2. Step 2: Convert to fraction form
    78,171.08/107,876.75 = 45,897.30/x
  3. Step 3: Cross multiply
    78,171.08x = 107,876.75 × 45,897.30
  4. Step 4: Simplify right side
    78,171.08x = 4,951,251,328.29
  5. Step 5: Solve for x
    x = 4,951,251,328.29/78,171.08
  6. Step 6: Final answer
    x = 63,338.66

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1.5x scale

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.