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Finding the Fourth Proportional to 100,966.30, 151,121.40 and 100,966.30

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Solution

The fourth proportional to 100,966.30, 151,121.40 and 100,966.30 is: 151,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,966.30 : 151,121.40 = 100,966.30 : x
  2. Step 2: Convert to fraction form
    100,966.30/151,121.40 = 100,966.30/x
  3. Step 3: Cross multiply
    100,966.30x = 151,121.40 × 100,966.30
  4. Step 4: Simplify right side
    100,966.30x = 15,258,168,608.82
  5. Step 5: Solve for x
    x = 15,258,168,608.82/100,966.30
  6. Step 6: Final answer
    x = 151,121.40

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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.