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Finding the Fourth Proportional to 217,854.84, 300,633.68 and 121,056.20

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Solution

The fourth proportional to 217,854.84, 300,633.68 and 121,056.20 is: 167,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,854.84 : 300,633.68 = 121,056.20 : x
  2. Step 2: Convert to fraction form
    217,854.84/300,633.68 = 121,056.20/x
  3. Step 3: Cross multiply
    217,854.84x = 300,633.68 × 121,056.20
  4. Step 4: Simplify right side
    217,854.84x = 36,393,569,692.29
  5. Step 5: Solve for x
    x = 36,393,569,692.29/217,854.84
  6. Step 6: Final answer
    x = 167,054.22

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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.