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Finding the Fourth Proportional to 135,391.80, 186,847.59 and 74,969.12

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Solution

The fourth proportional to 135,391.80, 186,847.59 and 74,969.12 is: 103,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,391.80 : 186,847.59 = 74,969.12 : x
  2. Step 2: Convert to fraction form
    135,391.80/186,847.59 = 74,969.12/x
  3. Step 3: Cross multiply
    135,391.80x = 186,847.59 × 74,969.12
  4. Step 4: Simplify right side
    135,391.80x = 14,007,798,462.18
  5. Step 5: Solve for x
    x = 14,007,798,462.18/135,391.80
  6. Step 6: Final answer
    x = 103,461.20

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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.