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Finding the Fourth Proportional to 217,289.16, 299,853.36 and 121,802.04

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Solution

The fourth proportional to 217,289.16, 299,853.36 and 121,802.04 is: 168,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,289.16 : 299,853.36 = 121,802.04 : x
  2. Step 2: Convert to fraction form
    217,289.16/299,853.36 = 121,802.04/x
  3. Step 3: Cross multiply
    217,289.16x = 299,853.36 × 121,802.04
  4. Step 4: Simplify right side
    217,289.16x = 36,522,750,948.85
  5. Step 5: Solve for x
    x = 36,522,750,948.85/217,289.16
  6. Step 6: Final answer
    x = 168,083.63

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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.