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Finding the Fourth Proportional to 158,887.78, 219,266.94 and 87,269.47

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Solution

The fourth proportional to 158,887.78, 219,266.94 and 87,269.47 is: 120,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,887.78 : 219,266.94 = 87,269.47 : x
  2. Step 2: Convert to fraction form
    158,887.78/219,266.94 = 87,269.47/x
  3. Step 3: Cross multiply
    158,887.78x = 219,266.94 × 87,269.47
  4. Step 4: Simplify right side
    158,887.78x = 19,135,309,642.32
  5. Step 5: Solve for x
    x = 19,135,309,642.32/158,887.78
  6. Step 6: Final answer
    x = 120,432.86

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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.