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Finding the Fourth Proportional to 107,042.40, 160,369.20 and 87,213.60

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Solution

The fourth proportional to 107,042.40, 160,369.20 and 87,213.60 is: 130,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,042.40 : 160,369.20 = 87,213.60 : x
  2. Step 2: Convert to fraction form
    107,042.40/160,369.20 = 87,213.60/x
  3. Step 3: Cross multiply
    107,042.40x = 160,369.20 × 87,213.60
  4. Step 4: Simplify right side
    107,042.40x = 13,986,375,261.12
  5. Step 5: Solve for x
    x = 13,986,375,261.12/107,042.40
  6. Step 6: Final answer
    x = 130,662.01

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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.