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Finding the Fourth Proportional to 202,864.76, 279,948.31 and 112,225.76

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Solution

The fourth proportional to 202,864.76, 279,948.31 and 112,225.76 is: 154,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,864.76 : 279,948.31 = 112,225.76 : x
  2. Step 2: Convert to fraction form
    202,864.76/279,948.31 = 112,225.76/x
  3. Step 3: Cross multiply
    202,864.76x = 279,948.31 × 112,225.76
  4. Step 4: Simplify right side
    202,864.76x = 31,417,410,170.16
  5. Step 5: Solve for x
    x = 31,417,410,170.16/202,864.76
  6. Step 6: Final answer
    x = 154,868.75

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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.