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Finding the Fourth Proportional to 147,974.80, 221,978.40 and 143,309.20

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Solution

The fourth proportional to 147,974.80, 221,978.40 and 143,309.20 is: 214,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,974.80 : 221,978.40 = 143,309.20 : x
  2. Step 2: Convert to fraction form
    147,974.80/221,978.40 = 143,309.20/x
  3. Step 3: Cross multiply
    147,974.80x = 221,978.40 × 143,309.20
  4. Step 4: Simplify right side
    147,974.80x = 31,811,546,921.28
  5. Step 5: Solve for x
    x = 31,811,546,921.28/147,974.80
  6. Step 6: Final answer
    x = 214,979.49

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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.