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Finding the Fourth Proportional to 100,013.76, 149,957.28 and 50,080.32

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Solution

The fourth proportional to 100,013.76, 149,957.28 and 50,080.32 is: 75,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.76 : 149,957.28 = 50,080.32 : x
  2. Step 2: Convert to fraction form
    100,013.76/149,957.28 = 50,080.32/x
  3. Step 3: Cross multiply
    100,013.76x = 149,957.28 × 50,080.32
  4. Step 4: Simplify right side
    100,013.76x = 7,509,908,568.73
  5. Step 5: Solve for x
    x = 7,509,908,568.73/100,013.76
  6. Step 6: Final answer
    x = 75,088.75

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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.