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Finding the Fourth Proportional to 135,687.84, 203,518.80 and 83,070.24

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Solution

The fourth proportional to 135,687.84, 203,518.80 and 83,070.24 is: 124,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,687.84 : 203,518.80 = 83,070.24 : x
  2. Step 2: Convert to fraction form
    135,687.84/203,518.80 = 83,070.24/x
  3. Step 3: Cross multiply
    135,687.84x = 203,518.80 × 83,070.24
  4. Step 4: Simplify right side
    135,687.84x = 16,906,355,560.51
  5. Step 5: Solve for x
    x = 16,906,355,560.51/135,687.84
  6. Step 6: Final answer
    x = 124,597.43

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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.