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Finding the Fourth Proportional to 202,074, 278,870.76 and 112,650

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Solution

The fourth proportional to 202,074, 278,870.76 and 112,650 is: 155,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,074 : 278,870.76 = 112,650 : x
  2. Step 2: Convert to fraction form
    202,074/278,870.76 = 112,650/x
  3. Step 3: Cross multiply
    202,074x = 278,870.76 × 112,650
  4. Step 4: Simplify right side
    202,074x = 31,414,791,114
  5. Step 5: Solve for x
    x = 31,414,791,114/202,074
  6. Step 6: Final answer
    x = 155,461.82

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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.