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Finding the Fourth Proportional to 217,244.92, 299,809.74 and 121,782.28

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Solution

The fourth proportional to 217,244.92, 299,809.74 and 121,782.28 is: 168,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,244.92 : 299,809.74 = 121,782.28 : x
  2. Step 2: Convert to fraction form
    217,244.92/299,809.74 = 121,782.28/x
  3. Step 3: Cross multiply
    217,244.92x = 299,809.74 × 121,782.28
  4. Step 4: Simplify right side
    217,244.92x = 36,511,513,703.41
  5. Step 5: Solve for x
    x = 36,511,513,703.41/217,244.92
  6. Step 6: Final answer
    x = 168,066.13

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1.5x scale

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.