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Finding the Fourth Proportional to 139,017, 191,842.38 and 75,353.16

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Solution

The fourth proportional to 139,017, 191,842.38 and 75,353.16 is: 103,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,017 : 191,842.38 = 75,353.16 : x
  2. Step 2: Convert to fraction form
    139,017/191,842.38 = 75,353.16/x
  3. Step 3: Cross multiply
    139,017x = 191,842.38 × 75,353.16
  4. Step 4: Simplify right side
    139,017x = 14,455,929,554.92
  5. Step 5: Solve for x
    x = 14,455,929,554.92/139,017
  6. Step 6: Final answer
    x = 103,986.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.