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Finding the Fourth Proportional to 64,204.59, 96,269.85 and 19,819.47

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Solution

The fourth proportional to 64,204.59, 96,269.85 and 19,819.47 is: 29,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,204.59 : 96,269.85 = 19,819.47 : x
  2. Step 2: Convert to fraction form
    64,204.59/96,269.85 = 19,819.47/x
  3. Step 3: Cross multiply
    64,204.59x = 96,269.85 × 19,819.47
  4. Step 4: Simplify right side
    64,204.59x = 1,908,017,403.98
  5. Step 5: Solve for x
    x = 1,908,017,403.98/64,204.59
  6. Step 6: Final answer
    x = 29,717.77

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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.