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Finding the Fourth Proportional to 203,870.59, 305,782.11 and 54,122.51

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Solution

The fourth proportional to 203,870.59, 305,782.11 and 54,122.51 is: 81,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,870.59 : 305,782.11 = 54,122.51 : x
  2. Step 2: Convert to fraction form
    203,870.59/305,782.11 = 54,122.51/x
  3. Step 3: Cross multiply
    203,870.59x = 305,782.11 × 54,122.51
  4. Step 4: Simplify right side
    203,870.59x = 16,549,696,070.75
  5. Step 5: Solve for x
    x = 16,549,696,070.75/203,870.59
  6. Step 6: Final answer
    x = 81,177.46

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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.