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Finding the Fourth Proportional to 202,748.46, 279,780.85 and 112,097.31

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Solution

The fourth proportional to 202,748.46, 279,780.85 and 112,097.31 is: 154,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,748.46 : 279,780.85 = 112,097.31 : x
  2. Step 2: Convert to fraction form
    202,748.46/279,780.85 = 112,097.31/x
  3. Step 3: Cross multiply
    202,748.46x = 279,780.85 × 112,097.31
  4. Step 4: Simplify right side
    202,748.46x = 31,362,680,674.51
  5. Step 5: Solve for x
    x = 31,362,680,674.51/202,748.46
  6. Step 6: Final answer
    x = 154,687.64

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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.