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Finding the Fourth Proportional to 157,520, 236,349.60 and 82,622.24

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Solution

The fourth proportional to 157,520, 236,349.60 and 82,622.24 is: 123,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,520 : 236,349.60 = 82,622.24 : x
  2. Step 2: Convert to fraction form
    157,520/236,349.60 = 82,622.24/x
  3. Step 3: Cross multiply
    157,520x = 236,349.60 × 82,622.24
  4. Step 4: Simplify right side
    157,520x = 19,527,733,375.10
  5. Step 5: Solve for x
    x = 19,527,733,375.10/157,520
  6. Step 6: Final answer
    x = 123,969.87

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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.