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Finding the Fourth Proportional to 143,362.90, 214,971.45 and 84,216.70

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Solution

The fourth proportional to 143,362.90, 214,971.45 and 84,216.70 is: 126,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,362.90 : 214,971.45 = 84,216.70 : x
  2. Step 2: Convert to fraction form
    143,362.90/214,971.45 = 84,216.70/x
  3. Step 3: Cross multiply
    143,362.90x = 214,971.45 × 84,216.70
  4. Step 4: Simplify right side
    143,362.90x = 18,104,186,113.22
  5. Step 5: Solve for x
    x = 18,104,186,113.22/143,362.90
  6. Step 6: Final answer
    x = 126,282.23

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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.