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Finding the Fourth Proportional to 142,726.56, 214,163.13 and 72,605.64

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Solution

The fourth proportional to 142,726.56, 214,163.13 and 72,605.64 is: 108,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,726.56 : 214,163.13 = 72,605.64 : x
  2. Step 2: Convert to fraction form
    142,726.56/214,163.13 = 72,605.64/x
  3. Step 3: Cross multiply
    142,726.56x = 214,163.13 × 72,605.64
  4. Step 4: Simplify right side
    142,726.56x = 15,549,451,118.05
  5. Step 5: Solve for x
    x = 15,549,451,118.05/142,726.56
  6. Step 6: Final answer
    x = 108,945.74

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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.