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Finding the Fourth Proportional to 143,258.66, 214,592.66 and 83,914.42

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Solution

The fourth proportional to 143,258.66, 214,592.66 and 83,914.42 is: 125,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,258.66 : 214,592.66 = 83,914.42 : x
  2. Step 2: Convert to fraction form
    143,258.66/214,592.66 = 83,914.42/x
  3. Step 3: Cross multiply
    143,258.66x = 214,592.66 × 83,914.42
  4. Step 4: Simplify right side
    143,258.66x = 18,007,418,600.16
  5. Step 5: Solve for x
    x = 18,007,418,600.16/143,258.66
  6. Step 6: Final answer
    x = 125,698.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.