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Finding the Fourth Proportional to 109,134, 163,396.85 and 55,711.05

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Solution

The fourth proportional to 109,134, 163,396.85 and 55,711.05 is: 83,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,134 : 163,396.85 = 55,711.05 : x
  2. Step 2: Convert to fraction form
    109,134/163,396.85 = 55,711.05/x
  3. Step 3: Cross multiply
    109,134x = 163,396.85 × 55,711.05
  4. Step 4: Simplify right side
    109,134x = 9,103,009,801.64
  5. Step 5: Solve for x
    x = 9,103,009,801.64/109,134
  6. Step 6: Final answer
    x = 83,411.31

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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.