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Finding the Fourth Proportional to 139,532.34, 192,546 and 78,275.16

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Solution

The fourth proportional to 139,532.34, 192,546 and 78,275.16 is: 108,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,532.34 : 192,546 = 78,275.16 : x
  2. Step 2: Convert to fraction form
    139,532.34/192,546 = 78,275.16/x
  3. Step 3: Cross multiply
    139,532.34x = 192,546 × 78,275.16
  4. Step 4: Simplify right side
    139,532.34x = 15,071,568,957.36
  5. Step 5: Solve for x
    x = 15,071,568,957.36/139,532.34
  6. Step 6: Final answer
    x = 108,014.88

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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.