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Finding the Fourth Proportional to 109,241, 163,870.39 and 30,355.23

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Solution

The fourth proportional to 109,241, 163,870.39 and 30,355.23 is: 45,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,241 : 163,870.39 = 30,355.23 : x
  2. Step 2: Convert to fraction form
    109,241/163,870.39 = 30,355.23/x
  3. Step 3: Cross multiply
    109,241x = 163,870.39 × 30,355.23
  4. Step 4: Simplify right side
    109,241x = 4,974,323,378.64
  5. Step 5: Solve for x
    x = 4,974,323,378.64/109,241
  6. Step 6: Final answer
    x = 45,535.32

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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.