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Finding the Fourth Proportional to 132,545.44, 182,911.29 and 78,829.28

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Solution

The fourth proportional to 132,545.44, 182,911.29 and 78,829.28 is: 108,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,545.44 : 182,911.29 = 78,829.28 : x
  2. Step 2: Convert to fraction form
    132,545.44/182,911.29 = 78,829.28/x
  3. Step 3: Cross multiply
    132,545.44x = 182,911.29 × 78,829.28
  4. Step 4: Simplify right side
    132,545.44x = 14,418,763,985.87
  5. Step 5: Solve for x
    x = 14,418,763,985.87/132,545.44
  6. Step 6: Final answer
    x = 108,783.55

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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.