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Finding the Fourth Proportional to 221,316.48, 305,412.48 and 120,715.20

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Solution

The fourth proportional to 221,316.48, 305,412.48 and 120,715.20 is: 166,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,316.48 : 305,412.48 = 120,715.20 : x
  2. Step 2: Convert to fraction form
    221,316.48/305,412.48 = 120,715.20/x
  3. Step 3: Cross multiply
    221,316.48x = 305,412.48 × 120,715.20
  4. Step 4: Simplify right side
    221,316.48x = 36,867,928,605.70
  5. Step 5: Solve for x
    x = 36,867,928,605.70/221,316.48
  6. Step 6: Final answer
    x = 166,584.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.