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Finding the Fourth Proportional to 188,498, 260,127.78 and 107,926.76

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Solution

The fourth proportional to 188,498, 260,127.78 and 107,926.76 is: 148,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,498 : 260,127.78 = 107,926.76 : x
  2. Step 2: Convert to fraction form
    188,498/260,127.78 = 107,926.76/x
  3. Step 3: Cross multiply
    188,498x = 260,127.78 × 107,926.76
  4. Step 4: Simplify right side
    188,498x = 28,074,748,481.39
  5. Step 5: Solve for x
    x = 28,074,748,481.39/188,498
  6. Step 6: Final answer
    x = 148,939.24

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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.