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Finding the Fourth Proportional to 52,047, 78,072.66 and 15,111

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Solution

The fourth proportional to 52,047, 78,072.66 and 15,111 is: 22,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047 : 78,072.66 = 15,111 : x
  2. Step 2: Convert to fraction form
    52,047/78,072.66 = 15,111/x
  3. Step 3: Cross multiply
    52,047x = 78,072.66 × 15,111
  4. Step 4: Simplify right side
    52,047x = 1,179,755,965.26
  5. Step 5: Solve for x
    x = 1,179,755,965.26/52,047
  6. Step 6: Final answer
    x = 22,667.13

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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.