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Finding the Fourth Proportional to 135,495.65, 186,964.93 and 75,069.87

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Solution

The fourth proportional to 135,495.65, 186,964.93 and 75,069.87 is: 103,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,495.65 : 186,964.93 = 75,069.87 : x
  2. Step 2: Convert to fraction form
    135,495.65/186,964.93 = 75,069.87/x
  3. Step 3: Cross multiply
    135,495.65x = 186,964.93 × 75,069.87
  4. Step 4: Simplify right side
    135,495.65x = 14,035,432,801.98
  5. Step 5: Solve for x
    x = 14,035,432,801.98/135,495.65
  6. Step 6: Final answer
    x = 103,585.85

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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.