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Finding the Fourth Proportional to 52,302.32, 78,486.89 and 19,019.22

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Solution

The fourth proportional to 52,302.32, 78,486.89 and 19,019.22 is: 28,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,302.32 : 78,486.89 = 19,019.22 : x
  2. Step 2: Convert to fraction form
    52,302.32/78,486.89 = 19,019.22/x
  3. Step 3: Cross multiply
    52,302.32x = 78,486.89 × 19,019.22
  4. Step 4: Simplify right side
    52,302.32x = 1,492,758,940.50
  5. Step 5: Solve for x
    x = 1,492,758,940.50/52,302.32
  6. Step 6: Final answer
    x = 28,540.97

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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.