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Finding the Fourth Proportional to 157,266.70, 235,640.85 and 130,828.30

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Solution

The fourth proportional to 157,266.70, 235,640.85 and 130,828.30 is: 196,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,266.70 : 235,640.85 = 130,828.30 : x
  2. Step 2: Convert to fraction form
    157,266.70/235,640.85 = 130,828.30/x
  3. Step 3: Cross multiply
    157,266.70x = 235,640.85 × 130,828.30
  4. Step 4: Simplify right side
    157,266.70x = 30,828,491,816.06
  5. Step 5: Solve for x
    x = 30,828,491,816.06/157,266.70
  6. Step 6: Final answer
    x = 196,026.82

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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.