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Finding the Fourth Proportional to 103,290.76, 154,941.90 and 29,413

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Solution

The fourth proportional to 103,290.76, 154,941.90 and 29,413 is: 44,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,290.76 : 154,941.90 = 29,413 : x
  2. Step 2: Convert to fraction form
    103,290.76/154,941.90 = 29,413/x
  3. Step 3: Cross multiply
    103,290.76x = 154,941.90 × 29,413
  4. Step 4: Simplify right side
    103,290.76x = 4,557,306,104.70
  5. Step 5: Solve for x
    x = 4,557,306,104.70/103,290.76
  6. Step 6: Final answer
    x = 44,121.14

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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.