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Finding the Fourth Proportional to 135,482.42, 186,963.72 and 75,052.88

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Solution

The fourth proportional to 135,482.42, 186,963.72 and 75,052.88 is: 103,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,482.42 : 186,963.72 = 75,052.88 : x
  2. Step 2: Convert to fraction form
    135,482.42/186,963.72 = 75,052.88/x
  3. Step 3: Cross multiply
    135,482.42x = 186,963.72 × 75,052.88
  4. Step 4: Simplify right side
    135,482.42x = 14,032,165,641.51
  5. Step 5: Solve for x
    x = 14,032,165,641.51/135,482.42
  6. Step 6: Final answer
    x = 103,571.86

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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.