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Finding the Fourth Proportional to 165,805.47, 248,708.21 and 47,477.30

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Solution

The fourth proportional to 165,805.47, 248,708.21 and 47,477.30 is: 71,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,805.47 : 248,708.21 = 47,477.30 : x
  2. Step 2: Convert to fraction form
    165,805.47/248,708.21 = 47,477.30/x
  3. Step 3: Cross multiply
    165,805.47x = 248,708.21 × 47,477.30
  4. Step 4: Simplify right side
    165,805.47x = 11,807,992,817.71
  5. Step 5: Solve for x
    x = 11,807,992,817.71/165,805.47
  6. Step 6: Final answer
    x = 71,215.94

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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.