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Finding the Fourth Proportional to 157,098.40, 235,388.40 and 133,770.40

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Solution

The fourth proportional to 157,098.40, 235,388.40 and 133,770.40 is: 200,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,098.40 : 235,388.40 = 133,770.40 : x
  2. Step 2: Convert to fraction form
    157,098.40/235,388.40 = 133,770.40/x
  3. Step 3: Cross multiply
    157,098.40x = 235,388.40 × 133,770.40
  4. Step 4: Simplify right side
    157,098.40x = 31,488,000,423.36
  5. Step 5: Solve for x
    x = 31,488,000,423.36/157,098.40
  6. Step 6: Final answer
    x = 200,434.89

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1.5x scale

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.