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Finding the Fourth Proportional to 201,385.28, 277,907.13 and 109,502.57

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Solution

The fourth proportional to 201,385.28, 277,907.13 and 109,502.57 is: 151,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,385.28 : 277,907.13 = 109,502.57 : x
  2. Step 2: Convert to fraction form
    201,385.28/277,907.13 = 109,502.57/x
  3. Step 3: Cross multiply
    201,385.28x = 277,907.13 × 109,502.57
  4. Step 4: Simplify right side
    201,385.28x = 30,431,543,566.79
  5. Step 5: Solve for x
    x = 30,431,543,566.79/201,385.28
  6. Step 6: Final answer
    x = 151,111.07

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1.5x scale

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.