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Finding the Fourth Proportional to 101,986.80, 152,677.80 and 75,807.60

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Solution

The fourth proportional to 101,986.80, 152,677.80 and 75,807.60 is: 113,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,986.80 : 152,677.80 = 75,807.60 : x
  2. Step 2: Convert to fraction form
    101,986.80/152,677.80 = 75,807.60/x
  3. Step 3: Cross multiply
    101,986.80x = 152,677.80 × 75,807.60
  4. Step 4: Simplify right side
    101,986.80x = 11,574,137,591.28
  5. Step 5: Solve for x
    x = 11,574,137,591.28/101,986.80
  6. Step 6: Final answer
    x = 113,486.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.