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Finding the Fourth Proportional to 218,196, 301,114.13 and 142,744.50

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Solution

The fourth proportional to 218,196, 301,114.13 and 142,744.50 is: 196,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,196 : 301,114.13 = 142,744.50 : x
  2. Step 2: Convert to fraction form
    218,196/301,114.13 = 142,744.50/x
  3. Step 3: Cross multiply
    218,196x = 301,114.13 × 142,744.50
  4. Step 4: Simplify right side
    218,196x = 42,982,385,216.06
  5. Step 5: Solve for x
    x = 42,982,385,216.06/218,196
  6. Step 6: Final answer
    x = 196,989.79

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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.