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Finding the Fourth Proportional to 78,864.99, 118,233.68 and 53,842.11

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Solution

The fourth proportional to 78,864.99, 118,233.68 and 53,842.11 is: 80,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,864.99 : 118,233.68 = 53,842.11 : x
  2. Step 2: Convert to fraction form
    78,864.99/118,233.68 = 53,842.11/x
  3. Step 3: Cross multiply
    78,864.99x = 118,233.68 × 53,842.11
  4. Step 4: Simplify right side
    78,864.99x = 6,365,950,535.05
  5. Step 5: Solve for x
    x = 6,365,950,535.05/78,864.99
  6. Step 6: Final answer
    x = 80,719.60

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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.