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Finding the Fourth Proportional to 77,890.59, 107,489.05 and 42,080.54

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Solution

The fourth proportional to 77,890.59, 107,489.05 and 42,080.54 is: 58,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,890.59 : 107,489.05 = 42,080.54 : x
  2. Step 2: Convert to fraction form
    77,890.59/107,489.05 = 42,080.54/x
  3. Step 3: Cross multiply
    77,890.59x = 107,489.05 × 42,080.54
  4. Step 4: Simplify right side
    77,890.59x = 4,523,196,625.44
  5. Step 5: Solve for x
    x = 4,523,196,625.44/77,890.59
  6. Step 6: Final answer
    x = 58,071.16

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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.