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Finding the Fourth Proportional to 165,798.90, 248,747.49 and 77,105.10

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Solution

The fourth proportional to 165,798.90, 248,747.49 and 77,105.10 is: 115,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,798.90 : 248,747.49 = 77,105.10 : x
  2. Step 2: Convert to fraction form
    165,798.90/248,747.49 = 77,105.10/x
  3. Step 3: Cross multiply
    165,798.90x = 248,747.49 × 77,105.10
  4. Step 4: Simplify right side
    165,798.90x = 19,179,700,091.20
  5. Step 5: Solve for x
    x = 19,179,700,091.20/165,798.90
  6. Step 6: Final answer
    x = 115,680.50

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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.