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Finding the Fourth Proportional to 201,791, 278,471.58 and 116,957.28

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Solution

The fourth proportional to 201,791, 278,471.58 and 116,957.28 is: 161,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,791 : 278,471.58 = 116,957.28 : x
  2. Step 2: Convert to fraction form
    201,791/278,471.58 = 116,957.28/x
  3. Step 3: Cross multiply
    201,791x = 278,471.58 × 116,957.28
  4. Step 4: Simplify right side
    201,791x = 32,569,278,554.10
  5. Step 5: Solve for x
    x = 32,569,278,554.10/201,791
  6. Step 6: Final answer
    x = 161,401.05

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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.