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Finding the Fourth Proportional to 217,259.25, 299,830.05 and 121,772.04

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Solution

The fourth proportional to 217,259.25, 299,830.05 and 121,772.04 is: 168,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,259.25 : 299,830.05 = 121,772.04 : x
  2. Step 2: Convert to fraction form
    217,259.25/299,830.05 = 121,772.04/x
  3. Step 3: Cross multiply
    217,259.25x = 299,830.05 × 121,772.04
  4. Step 4: Simplify right side
    217,259.25x = 36,510,916,841.80
  5. Step 5: Solve for x
    x = 36,510,916,841.80/217,259.25
  6. Step 6: Final answer
    x = 168,052.30

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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.