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Finding the Fourth Proportional to 109,578.89, 164,384.77 and 38,488.99

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Solution

The fourth proportional to 109,578.89, 164,384.77 and 38,488.99 is: 57,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,578.89 : 164,384.77 = 38,488.99 : x
  2. Step 2: Convert to fraction form
    109,578.89/164,384.77 = 38,488.99/x
  3. Step 3: Cross multiply
    109,578.89x = 164,384.77 × 38,488.99
  4. Step 4: Simplify right side
    109,578.89x = 6,327,003,987.20
  5. Step 5: Solve for x
    x = 6,327,003,987.20/109,578.89
  6. Step 6: Final answer
    x = 57,739.26

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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.