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Finding the Fourth Proportional to 76,802.25, 115,203.38 and 18,434.25

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Solution

The fourth proportional to 76,802.25, 115,203.38 and 18,434.25 is: 27,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.25 : 115,203.38 = 18,434.25 : x
  2. Step 2: Convert to fraction form
    76,802.25/115,203.38 = 18,434.25/x
  3. Step 3: Cross multiply
    76,802.25x = 115,203.38 × 18,434.25
  4. Step 4: Simplify right side
    76,802.25x = 2,123,687,815.59
  5. Step 5: Solve for x
    x = 2,123,687,815.59/76,802.25
  6. Step 6: Final answer
    x = 27,651.38

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1.5x scale

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.