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Finding the Fourth Proportional to 128,971.10, 193,456.65 and 97,478.30

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Solution

The fourth proportional to 128,971.10, 193,456.65 and 97,478.30 is: 146,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,971.10 : 193,456.65 = 97,478.30 : x
  2. Step 2: Convert to fraction form
    128,971.10/193,456.65 = 97,478.30/x
  3. Step 3: Cross multiply
    128,971.10x = 193,456.65 × 97,478.30
  4. Step 4: Simplify right side
    128,971.10x = 18,857,825,365.70
  5. Step 5: Solve for x
    x = 18,857,825,365.70/128,971.10
  6. Step 6: Final answer
    x = 146,217.45

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1.5x scale

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.