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Finding the Fourth Proportional to 146,886, 202,719.96 and 87,270

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Solution

The fourth proportional to 146,886, 202,719.96 and 87,270 is: 120,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,886 : 202,719.96 = 87,270 : x
  2. Step 2: Convert to fraction form
    146,886/202,719.96 = 87,270/x
  3. Step 3: Cross multiply
    146,886x = 202,719.96 × 87,270
  4. Step 4: Simplify right side
    146,886x = 17,691,370,909.20
  5. Step 5: Solve for x
    x = 17,691,370,909.20/146,886
  6. Step 6: Final answer
    x = 120,442.87

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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.