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Finding the Fourth Proportional to 218,062.94, 327,061.60 and 139,724.60

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Solution

The fourth proportional to 218,062.94, 327,061.60 and 139,724.60 is: 209,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,062.94 : 327,061.60 = 139,724.60 : x
  2. Step 2: Convert to fraction form
    218,062.94/327,061.60 = 139,724.60/x
  3. Step 3: Cross multiply
    218,062.94x = 327,061.60 × 139,724.60
  4. Step 4: Simplify right side
    218,062.94x = 45,698,549,250.74
  5. Step 5: Solve for x
    x = 45,698,549,250.74/218,062.94
  6. Step 6: Final answer
    x = 209,565.87

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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.