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Finding the Fourth Proportional to 107,870.80, 161,748.60 and 45,470.80

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Solution

The fourth proportional to 107,870.80, 161,748.60 and 45,470.80 is: 68,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,870.80 : 161,748.60 = 45,470.80 : x
  2. Step 2: Convert to fraction form
    107,870.80/161,748.60 = 45,470.80/x
  3. Step 3: Cross multiply
    107,870.80x = 161,748.60 × 45,470.80
  4. Step 4: Simplify right side
    107,870.80x = 7,354,838,240.88
  5. Step 5: Solve for x
    x = 7,354,838,240.88/107,870.80
  6. Step 6: Final answer
    x = 68,181.92

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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.