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Finding the Fourth Proportional to 148,746.24, 205,264.80 and 81,676.80

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Solution

The fourth proportional to 148,746.24, 205,264.80 and 81,676.80 is: 112,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,746.24 : 205,264.80 = 81,676.80 : x
  2. Step 2: Convert to fraction form
    148,746.24/205,264.80 = 81,676.80/x
  3. Step 3: Cross multiply
    148,746.24x = 205,264.80 × 81,676.80
  4. Step 4: Simplify right side
    148,746.24x = 16,765,372,016.64
  5. Step 5: Solve for x
    x = 16,765,372,016.64/148,746.24
  6. Step 6: Final answer
    x = 112,711.23

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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.