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Finding the Fourth Proportional to 157,432.40, 236,609.40 and 137,157.20

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Solution

The fourth proportional to 157,432.40, 236,609.40 and 137,157.20 is: 206,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,432.40 : 236,609.40 = 137,157.20 : x
  2. Step 2: Convert to fraction form
    157,432.40/236,609.40 = 137,157.20/x
  3. Step 3: Cross multiply
    157,432.40x = 236,609.40 × 137,157.20
  4. Step 4: Simplify right side
    157,432.40x = 32,452,682,797.68
  5. Step 5: Solve for x
    x = 32,452,682,797.68/157,432.40
  6. Step 6: Final answer
    x = 206,137.26

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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.