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Finding the Fourth Proportional to 135,421.84, 203,151.68 and 56,518

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Solution

The fourth proportional to 135,421.84, 203,151.68 and 56,518 is: 84,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,421.84 : 203,151.68 = 56,518 : x
  2. Step 2: Convert to fraction form
    135,421.84/203,151.68 = 56,518/x
  3. Step 3: Cross multiply
    135,421.84x = 203,151.68 × 56,518
  4. Step 4: Simplify right side
    135,421.84x = 11,481,726,367.65
  5. Step 5: Solve for x
    x = 11,481,726,367.65/135,421.84
  6. Step 6: Final answer
    x = 84,784.89

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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.