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Finding the Fourth Proportional to 165,806.47, 248,709.71 and 47,478.30

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Solution

The fourth proportional to 165,806.47, 248,709.71 and 47,478.30 is: 71,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,806.47 : 248,709.71 = 47,478.30 : x
  2. Step 2: Convert to fraction form
    165,806.47/248,709.71 = 47,478.30/x
  3. Step 3: Cross multiply
    165,806.47x = 248,709.71 × 47,478.30
  4. Step 4: Simplify right side
    165,806.47x = 11,808,314,224.29
  5. Step 5: Solve for x
    x = 11,808,314,224.29/165,806.47
  6. Step 6: Final answer
    x = 71,217.45

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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.