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Finding the Fourth Proportional to 145,855.80, 201,281.13 and 78,787.80

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Solution

The fourth proportional to 145,855.80, 201,281.13 and 78,787.80 is: 108,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,855.80 : 201,281.13 = 78,787.80 : x
  2. Step 2: Convert to fraction form
    145,855.80/201,281.13 = 78,787.80/x
  3. Step 3: Cross multiply
    145,855.80x = 201,281.13 × 78,787.80
  4. Step 4: Simplify right side
    145,855.80x = 15,858,497,414.21
  5. Step 5: Solve for x
    x = 15,858,497,414.21/145,855.80
  6. Step 6: Final answer
    x = 108,727.23

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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.