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Finding the Fourth Proportional to 157,872.21, 235,656.63 and 137,942.97

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Solution

The fourth proportional to 157,872.21, 235,656.63 and 137,942.97 is: 205,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,872.21 : 235,656.63 = 137,942.97 : x
  2. Step 2: Convert to fraction form
    157,872.21/235,656.63 = 137,942.97/x
  3. Step 3: Cross multiply
    157,872.21x = 235,656.63 × 137,942.97
  4. Step 4: Simplify right side
    157,872.21x = 32,507,175,442.39
  5. Step 5: Solve for x
    x = 32,507,175,442.39/157,872.21
  6. Step 6: Final answer
    x = 205,908.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.