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Finding the Fourth Proportional to 159,022.78, 219,447.02 and 87,402.78

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Solution

The fourth proportional to 159,022.78, 219,447.02 and 87,402.78 is: 120,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,022.78 : 219,447.02 = 87,402.78 : x
  2. Step 2: Convert to fraction form
    159,022.78/219,447.02 = 87,402.78/x
  3. Step 3: Cross multiply
    159,022.78x = 219,447.02 × 87,402.78
  4. Step 4: Simplify right side
    159,022.78x = 19,180,279,829.22
  5. Step 5: Solve for x
    x = 19,180,279,829.22/159,022.78
  6. Step 6: Final answer
    x = 120,613.41

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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.