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Finding the Fourth Proportional to 145,209.84, 217,806.92 and 45,358.57

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Solution

The fourth proportional to 145,209.84, 217,806.92 and 45,358.57 is: 68,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,209.84 : 217,806.92 = 45,358.57 : x
  2. Step 2: Convert to fraction form
    145,209.84/217,806.92 = 45,358.57/x
  3. Step 3: Cross multiply
    145,209.84x = 217,806.92 × 45,358.57
  4. Step 4: Simplify right side
    145,209.84x = 9,879,410,427.30
  5. Step 5: Solve for x
    x = 9,879,410,427.30/145,209.84
  6. Step 6: Final answer
    x = 68,035.41

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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.