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Finding the Fourth Proportional to 203,218.29, 304,834.77 and 70,102.89

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Solution

The fourth proportional to 203,218.29, 304,834.77 and 70,102.89 is: 105,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,218.29 : 304,834.77 = 70,102.89 : x
  2. Step 2: Convert to fraction form
    203,218.29/304,834.77 = 70,102.89/x
  3. Step 3: Cross multiply
    203,218.29x = 304,834.77 × 70,102.89
  4. Step 4: Simplify right side
    203,218.29x = 21,369,798,349.49
  5. Step 5: Solve for x
    x = 21,369,798,349.49/203,218.29
  6. Step 6: Final answer
    x = 105,156.87

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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.