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Finding the Fourth Proportional to 78,041.56, 117,078.74 and 25,487.95

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Solution

The fourth proportional to 78,041.56, 117,078.74 and 25,487.95 is: 38,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,041.56 : 117,078.74 = 25,487.95 : x
  2. Step 2: Convert to fraction form
    78,041.56/117,078.74 = 25,487.95/x
  3. Step 3: Cross multiply
    78,041.56x = 117,078.74 × 25,487.95
  4. Step 4: Simplify right side
    78,041.56x = 2,984,096,842.21
  5. Step 5: Solve for x
    x = 2,984,096,842.21/78,041.56
  6. Step 6: Final answer
    x = 38,237.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.