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Finding the Fourth Proportional to 202,024, 278,801.76 and 112,600

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Solution

The fourth proportional to 202,024, 278,801.76 and 112,600 is: 155,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,024 : 278,801.76 = 112,600 : x
  2. Step 2: Convert to fraction form
    202,024/278,801.76 = 112,600/x
  3. Step 3: Cross multiply
    202,024x = 278,801.76 × 112,600
  4. Step 4: Simplify right side
    202,024x = 31,393,078,176
  5. Step 5: Solve for x
    x = 31,393,078,176/202,024
  6. Step 6: Final answer
    x = 155,392.82

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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.