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Finding the Fourth Proportional to 223,445.80, 335,298.30 and 83,218.60

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Solution

The fourth proportional to 223,445.80, 335,298.30 and 83,218.60 is: 124,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,445.80 : 335,298.30 = 83,218.60 : x
  2. Step 2: Convert to fraction form
    223,445.80/335,298.30 = 83,218.60/x
  3. Step 3: Cross multiply
    223,445.80x = 335,298.30 × 83,218.60
  4. Step 4: Simplify right side
    223,445.80x = 27,903,055,108.38
  5. Step 5: Solve for x
    x = 27,903,055,108.38/223,445.80
  6. Step 6: Final answer
    x = 124,876.17

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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.