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Finding the Fourth Proportional to 131,981, 198,004.54 and 38,486.76

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Solution

The fourth proportional to 131,981, 198,004.54 and 38,486.76 is: 57,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,981 : 198,004.54 = 38,486.76 : x
  2. Step 2: Convert to fraction form
    131,981/198,004.54 = 38,486.76/x
  3. Step 3: Cross multiply
    131,981x = 198,004.54 × 38,486.76
  4. Step 4: Simplify right side
    131,981x = 7,620,553,209.89
  5. Step 5: Solve for x
    x = 7,620,553,209.89/131,981
  6. Step 6: Final answer
    x = 57,739.77

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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.