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Finding the Fourth Proportional to 100,928.46, 138,272.61 and 97,144.92

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Solution

The fourth proportional to 100,928.46, 138,272.61 and 97,144.92 is: 133,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,928.46 : 138,272.61 = 97,144.92 : x
  2. Step 2: Convert to fraction form
    100,928.46/138,272.61 = 97,144.92/x
  3. Step 3: Cross multiply
    100,928.46x = 138,272.61 × 97,144.92
  4. Step 4: Simplify right side
    100,928.46x = 13,432,481,636.64
  5. Step 5: Solve for x
    x = 13,432,481,636.64/100,928.46
  6. Step 6: Final answer
    x = 133,089.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.