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Finding the Fourth Proportional to 100,363.14, 150,570.02 and 70,838.64

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Solution

The fourth proportional to 100,363.14, 150,570.02 and 70,838.64 is: 106,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,363.14 : 150,570.02 = 70,838.64 : x
  2. Step 2: Convert to fraction form
    100,363.14/150,570.02 = 70,838.64/x
  3. Step 3: Cross multiply
    100,363.14x = 150,570.02 × 70,838.64
  4. Step 4: Simplify right side
    100,363.14x = 10,666,175,441.57
  5. Step 5: Solve for x
    x = 10,666,175,441.57/100,363.14
  6. Step 6: Final answer
    x = 106,275.82

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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.