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Finding the Fourth Proportional to 103,309.38, 154,780.65 and 43,205.40

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Solution

The fourth proportional to 103,309.38, 154,780.65 and 43,205.40 is: 64,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,309.38 : 154,780.65 = 43,205.40 : x
  2. Step 2: Convert to fraction form
    103,309.38/154,780.65 = 43,205.40/x
  3. Step 3: Cross multiply
    103,309.38x = 154,780.65 × 43,205.40
  4. Step 4: Simplify right side
    103,309.38x = 6,687,359,895.51
  5. Step 5: Solve for x
    x = 6,687,359,895.51/103,309.38
  6. Step 6: Final answer
    x = 64,731.39

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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.