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Finding the Fourth Proportional to 73,314.86, 109,978.70 and 20,724.36

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Solution

The fourth proportional to 73,314.86, 109,978.70 and 20,724.36 is: 31,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,314.86 : 109,978.70 = 20,724.36 : x
  2. Step 2: Convert to fraction form
    73,314.86/109,978.70 = 20,724.36/x
  3. Step 3: Cross multiply
    73,314.86x = 109,978.70 × 20,724.36
  4. Step 4: Simplify right side
    73,314.86x = 2,279,237,655.09
  5. Step 5: Solve for x
    x = 2,279,237,655.09/73,314.86
  6. Step 6: Final answer
    x = 31,088.35

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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.