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Finding the Fourth Proportional to 203,835.84, 305,807.85 and 70,715.76

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Solution

The fourth proportional to 203,835.84, 305,807.85 and 70,715.76 is: 106,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,835.84 : 305,807.85 = 70,715.76 : x
  2. Step 2: Convert to fraction form
    203,835.84/305,807.85 = 70,715.76/x
  3. Step 3: Cross multiply
    203,835.84x = 305,807.85 × 70,715.76
  4. Step 4: Simplify right side
    203,835.84x = 21,625,434,526.72
  5. Step 5: Solve for x
    x = 21,625,434,526.72/203,835.84
  6. Step 6: Final answer
    x = 106,092.41

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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.