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Finding the Fourth Proportional to 201,434.85, 277,966.49 and 115,394.17

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Solution

The fourth proportional to 201,434.85, 277,966.49 and 115,394.17 is: 159,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,434.85 : 277,966.49 = 115,394.17 : x
  2. Step 2: Convert to fraction form
    201,434.85/277,966.49 = 115,394.17/x
  3. Step 3: Cross multiply
    201,434.85x = 277,966.49 × 115,394.17
  4. Step 4: Simplify right side
    201,434.85x = 32,075,711,650.66
  5. Step 5: Solve for x
    x = 32,075,711,650.66/201,434.85
  6. Step 6: Final answer
    x = 159,236.16

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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.