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Finding the Fourth Proportional to 84,866.12, 127,335.18 and 45,413

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Solution

The fourth proportional to 84,866.12, 127,335.18 and 45,413 is: 68,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,866.12 : 127,335.18 = 45,413 : x
  2. Step 2: Convert to fraction form
    84,866.12/127,335.18 = 45,413/x
  3. Step 3: Cross multiply
    84,866.12x = 127,335.18 × 45,413
  4. Step 4: Simplify right side
    84,866.12x = 5,782,672,529.34
  5. Step 5: Solve for x
    x = 5,782,672,529.34/84,866.12
  6. Step 6: Final answer
    x = 68,138.76

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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.