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Finding the Fourth Proportional to 72,767.86, 109,021.93 and 39,466.69

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Solution

The fourth proportional to 72,767.86, 109,021.93 and 39,466.69 is: 59,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,767.86 : 109,021.93 = 39,466.69 : x
  2. Step 2: Convert to fraction form
    72,767.86/109,021.93 = 39,466.69/x
  3. Step 3: Cross multiply
    72,767.86x = 109,021.93 × 39,466.69
  4. Step 4: Simplify right side
    72,767.86x = 4,302,734,343.29
  5. Step 5: Solve for x
    x = 4,302,734,343.29/72,767.86
  6. Step 6: Final answer
    x = 59,129.60

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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.