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Finding the Fourth Proportional to 109,164.61, 150,639.10 and 61,408.77

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Solution

The fourth proportional to 109,164.61, 150,639.10 and 61,408.77 is: 84,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,164.61 : 150,639.10 = 61,408.77 : x
  2. Step 2: Convert to fraction form
    109,164.61/150,639.10 = 61,408.77/x
  3. Step 3: Cross multiply
    109,164.61x = 150,639.10 × 61,408.77
  4. Step 4: Simplify right side
    109,164.61x = 9,250,561,844.91
  5. Step 5: Solve for x
    x = 9,250,561,844.91/109,164.61
  6. Step 6: Final answer
    x = 84,739.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.