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Finding the Fourth Proportional to 128,803.82, 193,233.06 and 38,849.27

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Solution

The fourth proportional to 128,803.82, 193,233.06 and 38,849.27 is: 58,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,803.82 : 193,233.06 = 38,849.27 : x
  2. Step 2: Convert to fraction form
    128,803.82/193,233.06 = 38,849.27/x
  3. Step 3: Cross multiply
    128,803.82x = 193,233.06 × 38,849.27
  4. Step 4: Simplify right side
    128,803.82x = 7,506,962,354.70
  5. Step 5: Solve for x
    x = 7,506,962,354.70/128,803.82
  6. Step 6: Final answer
    x = 58,282.14

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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.