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Finding the Fourth Proportional to 135,187.80, 186,563.16 and 73,937.63

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Solution

The fourth proportional to 135,187.80, 186,563.16 and 73,937.63 is: 102,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,187.80 : 186,563.16 = 73,937.63 : x
  2. Step 2: Convert to fraction form
    135,187.80/186,563.16 = 73,937.63/x
  3. Step 3: Cross multiply
    135,187.80x = 186,563.16 × 73,937.63
  4. Step 4: Simplify right side
    135,187.80x = 13,794,036,962.90
  5. Step 5: Solve for x
    x = 13,794,036,962.90/135,187.80
  6. Step 6: Final answer
    x = 102,036.11

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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.