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Finding the Fourth Proportional to 102,881.96, 154,337.72 and 31,810.14

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Solution

The fourth proportional to 102,881.96, 154,337.72 and 31,810.14 is: 47,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,881.96 : 154,337.72 = 31,810.14 : x
  2. Step 2: Convert to fraction form
    102,881.96/154,337.72 = 31,810.14/x
  3. Step 3: Cross multiply
    102,881.96x = 154,337.72 × 31,810.14
  4. Step 4: Simplify right side
    102,881.96x = 4,909,504,560.01
  5. Step 5: Solve for x
    x = 4,909,504,560.01/102,881.96
  6. Step 6: Final answer
    x = 47,719.78

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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.