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Finding the Fourth Proportional to 107,321.60, 160,828.80 and 74,451.20

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Solution

The fourth proportional to 107,321.60, 160,828.80 and 74,451.20 is: 111,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,321.60 : 160,828.80 = 74,451.20 : x
  2. Step 2: Convert to fraction form
    107,321.60/160,828.80 = 74,451.20/x
  3. Step 3: Cross multiply
    107,321.60x = 160,828.80 × 74,451.20
  4. Step 4: Simplify right side
    107,321.60x = 11,973,897,154.56
  5. Step 5: Solve for x
    x = 11,973,897,154.56/107,321.60
  6. Step 6: Final answer
    x = 111,570.24

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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.