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Finding the Fourth Proportional to 100,530.54, 150,820.65 and 71,006.04

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Solution

The fourth proportional to 100,530.54, 150,820.65 and 71,006.04 is: 106,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,530.54 : 150,820.65 = 71,006.04 : x
  2. Step 2: Convert to fraction form
    100,530.54/150,820.65 = 71,006.04/x
  3. Step 3: Cross multiply
    100,530.54x = 150,820.65 × 71,006.04
  4. Step 4: Simplify right side
    100,530.54x = 10,709,177,106.73
  5. Step 5: Solve for x
    x = 10,709,177,106.73/100,530.54
  6. Step 6: Final answer
    x = 106,526.60

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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.