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Finding the Fourth Proportional to 223,832.40, 335,710.20 and 83,518.80

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Solution

The fourth proportional to 223,832.40, 335,710.20 and 83,518.80 is: 125,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,832.40 : 335,710.20 = 83,518.80 : x
  2. Step 2: Convert to fraction form
    223,832.40/335,710.20 = 83,518.80/x
  3. Step 3: Cross multiply
    223,832.40x = 335,710.20 × 83,518.80
  4. Step 4: Simplify right side
    223,832.40x = 28,038,113,051.76
  5. Step 5: Solve for x
    x = 28,038,113,051.76/223,832.40
  6. Step 6: Final answer
    x = 125,263.87

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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.