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Finding the Fourth Proportional to 109,866, 164,701.26 and 39,729.72

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Solution

The fourth proportional to 109,866, 164,701.26 and 39,729.72 is: 59,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,866 : 164,701.26 = 39,729.72 : x
  2. Step 2: Convert to fraction form
    109,866/164,701.26 = 39,729.72/x
  3. Step 3: Cross multiply
    109,866x = 164,701.26 × 39,729.72
  4. Step 4: Simplify right side
    109,866x = 6,543,534,943.45
  5. Step 5: Solve for x
    x = 6,543,534,943.45/109,866
  6. Step 6: Final answer
    x = 59,559.24

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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.