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Finding the Fourth Proportional to 189,065.34, 260,920.44 and 108,492.21

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Solution

The fourth proportional to 189,065.34, 260,920.44 and 108,492.21 is: 149,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,065.34 : 260,920.44 = 108,492.21 : x
  2. Step 2: Convert to fraction form
    189,065.34/260,920.44 = 108,492.21/x
  3. Step 3: Cross multiply
    189,065.34x = 260,920.44 × 108,492.21
  4. Step 4: Simplify right side
    189,065.34x = 28,307,835,169.77
  5. Step 5: Solve for x
    x = 28,307,835,169.77/189,065.34
  6. Step 6: Final answer
    x = 149,725.14

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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.