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Finding the Fourth Proportional to 157,390.40, 236,546.40 and 137,115.20

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Solution

The fourth proportional to 157,390.40, 236,546.40 and 137,115.20 is: 206,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,390.40 : 236,546.40 = 137,115.20 : x
  2. Step 2: Convert to fraction form
    157,390.40/236,546.40 = 137,115.20/x
  3. Step 3: Cross multiply
    157,390.40x = 236,546.40 × 137,115.20
  4. Step 4: Simplify right side
    157,390.40x = 32,434,106,945.28
  5. Step 5: Solve for x
    x = 32,434,106,945.28/157,390.40
  6. Step 6: Final answer
    x = 206,074.24

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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.