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Finding the Fourth Proportional to 135,384, 186,804 and 87,630.72

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Solution

The fourth proportional to 135,384, 186,804 and 87,630.72 is: 120,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,384 : 186,804 = 87,630.72 : x
  2. Step 2: Convert to fraction form
    135,384/186,804 = 87,630.72/x
  3. Step 3: Cross multiply
    135,384x = 186,804 × 87,630.72
  4. Step 4: Simplify right side
    135,384x = 16,369,769,018.88
  5. Step 5: Solve for x
    x = 16,369,769,018.88/135,384
  6. Step 6: Final answer
    x = 120,913.62

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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.