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Finding the Fourth Proportional to 207,376.80, 286,105.14 and 135,797.64

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Solution

The fourth proportional to 207,376.80, 286,105.14 and 135,797.64 is: 187,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,376.80 : 286,105.14 = 135,797.64 : x
  2. Step 2: Convert to fraction form
    207,376.80/286,105.14 = 135,797.64/x
  3. Step 3: Cross multiply
    207,376.80x = 286,105.14 × 135,797.64
  4. Step 4: Simplify right side
    207,376.80x = 38,852,402,803.87
  5. Step 5: Solve for x
    x = 38,852,402,803.87/207,376.80
  6. Step 6: Final answer
    x = 187,351.73

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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.