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Finding the Fourth Proportional to 126,555, 189,864.24 and 37,808.16

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Solution

The fourth proportional to 126,555, 189,864.24 and 37,808.16 is: 56,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,555 : 189,864.24 = 37,808.16 : x
  2. Step 2: Convert to fraction form
    126,555/189,864.24 = 37,808.16/x
  3. Step 3: Cross multiply
    126,555x = 189,864.24 × 37,808.16
  4. Step 4: Simplify right side
    126,555x = 7,178,417,564.20
  5. Step 5: Solve for x
    x = 7,178,417,564.20/126,555
  6. Step 6: Final answer
    x = 56,721.72

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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.