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Finding the Fourth Proportional to 203,419.84, 280,711.64 and 112,777.20

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Solution

The fourth proportional to 203,419.84, 280,711.64 and 112,777.20 is: 155,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,419.84 : 280,711.64 = 112,777.20 : x
  2. Step 2: Convert to fraction form
    203,419.84/280,711.64 = 112,777.20/x
  3. Step 3: Cross multiply
    203,419.84x = 280,711.64 × 112,777.20
  4. Step 4: Simplify right side
    203,419.84x = 31,657,872,766.61
  5. Step 5: Solve for x
    x = 31,657,872,766.61/203,419.84
  6. Step 6: Final answer
    x = 155,628.25

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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.