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Finding the Fourth Proportional to 52,301.82, 78,486.14 and 19,018.71

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Solution

The fourth proportional to 52,301.82, 78,486.14 and 19,018.71 is: 28,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,301.82 : 78,486.14 = 19,018.71 : x
  2. Step 2: Convert to fraction form
    52,301.82/78,486.14 = 19,018.71/x
  3. Step 3: Cross multiply
    52,301.82x = 78,486.14 × 19,018.71
  4. Step 4: Simplify right side
    52,301.82x = 1,492,705,236.80
  5. Step 5: Solve for x
    x = 1,492,705,236.80/52,301.82
  6. Step 6: Final answer
    x = 28,540.22

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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.