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Finding the Fourth Proportional to 135,123.16, 186,424.50 and 87,436.84

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Solution

The fourth proportional to 135,123.16, 186,424.50 and 87,436.84 is: 120,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,123.16 : 186,424.50 = 87,436.84 : x
  2. Step 2: Convert to fraction form
    135,123.16/186,424.50 = 87,436.84/x
  3. Step 3: Cross multiply
    135,123.16x = 186,424.50 × 87,436.84
  4. Step 4: Simplify right side
    135,123.16x = 16,300,369,178.58
  5. Step 5: Solve for x
    x = 16,300,369,178.58/135,123.16
  6. Step 6: Final answer
    x = 120,633.42

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