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Finding the Fourth Proportional to 203,381.84, 280,572.01 and 127,971.92

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Solution

The fourth proportional to 203,381.84, 280,572.01 and 127,971.92 is: 176,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,381.84 : 280,572.01 = 127,971.92 : x
  2. Step 2: Convert to fraction form
    203,381.84/280,572.01 = 127,971.92/x
  3. Step 3: Cross multiply
    203,381.84x = 280,572.01 × 127,971.92
  4. Step 4: Simplify right side
    203,381.84x = 35,905,337,095.17
  5. Step 5: Solve for x
    x = 35,905,337,095.17/203,381.84
  6. Step 6: Final answer
    x = 176,541.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.