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Finding the Fourth Proportional to 77,889, 107,486.82 and 42,561

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Solution

The fourth proportional to 77,889, 107,486.82 and 42,561 is: 58,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,889 : 107,486.82 = 42,561 : x
  2. Step 2: Convert to fraction form
    77,889/107,486.82 = 42,561/x
  3. Step 3: Cross multiply
    77,889x = 107,486.82 × 42,561
  4. Step 4: Simplify right side
    77,889x = 4,574,746,546.02
  5. Step 5: Solve for x
    x = 4,574,746,546.02/77,889
  6. Step 6: Final answer
    x = 58,734.18

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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.