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Finding the Fourth Proportional to 78,041.84, 107,697.30 and 42,231.80

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Solution

The fourth proportional to 78,041.84, 107,697.30 and 42,231.80 is: 58,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,041.84 : 107,697.30 = 42,231.80 : x
  2. Step 2: Convert to fraction form
    78,041.84/107,697.30 = 42,231.80/x
  3. Step 3: Cross multiply
    78,041.84x = 107,697.30 × 42,231.80
  4. Step 4: Simplify right side
    78,041.84x = 4,548,250,295.65
  5. Step 5: Solve for x
    x = 4,548,250,295.65/78,041.84
  6. Step 6: Final answer
    x = 58,279.64

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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.