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Finding the Fourth Proportional to 125,899.86, 189,035.91 and 84,040.74

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Solution

The fourth proportional to 125,899.86, 189,035.91 and 84,040.74 is: 126,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,899.86 : 189,035.91 = 84,040.74 : x
  2. Step 2: Convert to fraction form
    125,899.86/189,035.91 = 84,040.74/x
  3. Step 3: Cross multiply
    125,899.86x = 189,035.91 × 84,040.74
  4. Step 4: Simplify right side
    125,899.86x = 15,886,717,762.97
  5. Step 5: Solve for x
    x = 15,886,717,762.97/125,899.86
  6. Step 6: Final answer
    x = 126,185.35

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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.