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Finding the Fourth Proportional to 66,913.81, 100,338.92 and 38,842.47

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Solution

The fourth proportional to 66,913.81, 100,338.92 and 38,842.47 is: 58,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,913.81 : 100,338.92 = 38,842.47 : x
  2. Step 2: Convert to fraction form
    66,913.81/100,338.92 = 38,842.47/x
  3. Step 3: Cross multiply
    66,913.81x = 100,338.92 × 38,842.47
  4. Step 4: Simplify right side
    66,913.81x = 3,897,411,441.38
  5. Step 5: Solve for x
    x = 3,897,411,441.38/66,913.81
  6. Step 6: Final answer
    x = 58,245.25

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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.