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Finding the Fourth Proportional to 137,842.90, 206,769.62 and 43,081.81

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Solution

The fourth proportional to 137,842.90, 206,769.62 and 43,081.81 is: 64,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,842.90 : 206,769.62 = 43,081.81 : x
  2. Step 2: Convert to fraction form
    137,842.90/206,769.62 = 43,081.81/x
  3. Step 3: Cross multiply
    137,842.90x = 206,769.62 × 43,081.81
  4. Step 4: Simplify right side
    137,842.90x = 8,908,009,482.61
  5. Step 5: Solve for x
    x = 8,908,009,482.61/137,842.90
  6. Step 6: Final answer
    x = 64,624.36

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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.