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Finding the Fourth Proportional to 135,471.16, 187,041.52 and 84,561.42

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Solution

The fourth proportional to 135,471.16, 187,041.52 and 84,561.42 is: 116,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,471.16 : 187,041.52 = 84,561.42 : x
  2. Step 2: Convert to fraction form
    135,471.16/187,041.52 = 84,561.42/x
  3. Step 3: Cross multiply
    135,471.16x = 187,041.52 × 84,561.42
  4. Step 4: Simplify right side
    135,471.16x = 15,816,496,530.16
  5. Step 5: Solve for x
    x = 15,816,496,530.16/135,471.16
  6. Step 6: Final answer
    x = 116,751.76

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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.