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Finding the Fourth Proportional to 53,478.81, 80,217.99 and 13,497.89

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Solution

The fourth proportional to 53,478.81, 80,217.99 and 13,497.89 is: 20,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478.81 : 80,217.99 = 13,497.89 : x
  2. Step 2: Convert to fraction form
    53,478.81/80,217.99 = 13,497.89/x
  3. Step 3: Cross multiply
    53,478.81x = 80,217.99 × 13,497.89
  4. Step 4: Simplify right side
    53,478.81x = 1,082,773,203.95
  5. Step 5: Solve for x
    x = 1,082,773,203.95/53,478.81
  6. Step 6: Final answer
    x = 20,246.77

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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.