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Finding the Fourth Proportional to 165,424.40, 248,064.60 and 76,648.40

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Solution

The fourth proportional to 165,424.40, 248,064.60 and 76,648.40 is: 114,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,424.40 : 248,064.60 = 76,648.40 : x
  2. Step 2: Convert to fraction form
    165,424.40/248,064.60 = 76,648.40/x
  3. Step 3: Cross multiply
    165,424.40x = 248,064.60 × 76,648.40
  4. Step 4: Simplify right side
    165,424.40x = 19,013,754,686.64
  5. Step 5: Solve for x
    x = 19,013,754,686.64/165,424.40
  6. Step 6: Final answer
    x = 114,939.24

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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.