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Finding the Fourth Proportional to 103,160, 154,749 and 29,288

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Solution

The fourth proportional to 103,160, 154,749 and 29,288 is: 43,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,160 : 154,749 = 29,288 : x
  2. Step 2: Convert to fraction form
    103,160/154,749 = 29,288/x
  3. Step 3: Cross multiply
    103,160x = 154,749 × 29,288
  4. Step 4: Simplify right side
    103,160x = 4,532,288,712
  5. Step 5: Solve for x
    x = 4,532,288,712/103,160
  6. Step 6: Final answer
    x = 43,934.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.