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Finding the Fourth Proportional to 57,078.98, 78,751.14 and 34,424.90

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Solution

The fourth proportional to 57,078.98, 78,751.14 and 34,424.90 is: 47,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,078.98 : 78,751.14 = 34,424.90 : x
  2. Step 2: Convert to fraction form
    57,078.98/78,751.14 = 34,424.90/x
  3. Step 3: Cross multiply
    57,078.98x = 78,751.14 × 34,424.90
  4. Step 4: Simplify right side
    57,078.98x = 2,711,000,119.39
  5. Step 5: Solve for x
    x = 2,711,000,119.39/57,078.98
  6. Step 6: Final answer
    x = 47,495.60

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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.