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Finding the Fourth Proportional to 202,020, 278,796.24 and 112,596

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Solution

The fourth proportional to 202,020, 278,796.24 and 112,596 is: 155,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,020 : 278,796.24 = 112,596 : x
  2. Step 2: Convert to fraction form
    202,020/278,796.24 = 112,596/x
  3. Step 3: Cross multiply
    202,020x = 278,796.24 × 112,596
  4. Step 4: Simplify right side
    202,020x = 31,391,341,439.04
  5. Step 5: Solve for x
    x = 31,391,341,439.04/202,020
  6. Step 6: Final answer
    x = 155,387.30

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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.