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Finding the Fourth Proportional to 135,970.65, 187,666.47 and 86,880.87

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Solution

The fourth proportional to 135,970.65, 187,666.47 and 86,880.87 is: 119,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,970.65 : 187,666.47 = 86,880.87 : x
  2. Step 2: Convert to fraction form
    135,970.65/187,666.47 = 86,880.87/x
  3. Step 3: Cross multiply
    135,970.65x = 187,666.47 × 86,880.87
  4. Step 4: Simplify right side
    135,970.65x = 16,304,626,183.43
  5. Step 5: Solve for x
    x = 16,304,626,183.43/135,970.65
  6. Step 6: Final answer
    x = 119,912.84

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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.