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Finding the Fourth Proportional to 126,574.84, 189,791.18 and 42,290.59

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Solution

The fourth proportional to 126,574.84, 189,791.18 and 42,290.59 is: 63,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,574.84 : 189,791.18 = 42,290.59 : x
  2. Step 2: Convert to fraction form
    126,574.84/189,791.18 = 42,290.59/x
  3. Step 3: Cross multiply
    126,574.84x = 189,791.18 × 42,290.59
  4. Step 4: Simplify right side
    126,574.84x = 8,026,380,979.00
  5. Step 5: Solve for x
    x = 8,026,380,979.00/126,574.84
  6. Step 6: Final answer
    x = 63,412.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.