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Finding the Fourth Proportional to 135,242.98, 186,572.43 and 87,511.74

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Solution

The fourth proportional to 135,242.98, 186,572.43 and 87,511.74 is: 120,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,242.98 : 186,572.43 = 87,511.74 : x
  2. Step 2: Convert to fraction form
    135,242.98/186,572.43 = 87,511.74/x
  3. Step 3: Cross multiply
    135,242.98x = 186,572.43 × 87,511.74
  4. Step 4: Simplify right side
    135,242.98x = 16,327,277,985.33
  5. Step 5: Solve for x
    x = 16,327,277,985.33/135,242.98
  6. Step 6: Final answer
    x = 120,725.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.