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Finding the Fourth Proportional to 78,080.84, 107,751.60 and 42,270.85

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Solution

The fourth proportional to 78,080.84, 107,751.60 and 42,270.85 is: 58,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,080.84 : 107,751.60 = 42,270.85 : x
  2. Step 2: Convert to fraction form
    78,080.84/107,751.60 = 42,270.85/x
  3. Step 3: Cross multiply
    78,080.84x = 107,751.60 × 42,270.85
  4. Step 4: Simplify right side
    78,080.84x = 4,554,752,158.60
  5. Step 5: Solve for x
    x = 4,554,752,158.60/78,080.84
  6. Step 6: Final answer
    x = 58,333.80

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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.