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Finding the Fourth Proportional to 135,130.99, 186,471.85 and 77,761.04

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Solution

The fourth proportional to 135,130.99, 186,471.85 and 77,761.04 is: 107,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,130.99 : 186,471.85 = 77,761.04 : x
  2. Step 2: Convert to fraction form
    135,130.99/186,471.85 = 77,761.04/x
  3. Step 3: Cross multiply
    135,130.99x = 186,471.85 × 77,761.04
  4. Step 4: Simplify right side
    135,130.99x = 14,500,244,986.72
  5. Step 5: Solve for x
    x = 14,500,244,986.72/135,130.99
  6. Step 6: Final answer
    x = 107,305.10

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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.