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Finding the Fourth Proportional to 157,007.60, 217,241 and 136,906.40

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Solution

The fourth proportional to 157,007.60, 217,241 and 136,906.40 is: 189,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,007.60 : 217,241 = 136,906.40 : x
  2. Step 2: Convert to fraction form
    157,007.60/217,241 = 136,906.40/x
  3. Step 3: Cross multiply
    157,007.60x = 217,241 × 136,906.40
  4. Step 4: Simplify right side
    157,007.60x = 29,741,683,242.40
  5. Step 5: Solve for x
    x = 29,741,683,242.40/157,007.60
  6. Step 6: Final answer
    x = 189,428.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.