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Finding the Fourth Proportional to 201,908, 278,638.80 and 112,489.76

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Solution

The fourth proportional to 201,908, 278,638.80 and 112,489.76 is: 155,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908 : 278,638.80 = 112,489.76 : x
  2. Step 2: Convert to fraction form
    201,908/278,638.80 = 112,489.76/x
  3. Step 3: Cross multiply
    201,908x = 278,638.80 × 112,489.76
  4. Step 4: Simplify right side
    201,908x = 31,344,011,738.69
  5. Step 5: Solve for x
    x = 31,344,011,738.69/201,908
  6. Step 6: Final answer
    x = 155,239.08

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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.