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Finding the Fourth Proportional to 134,822, 186,054.36 and 75,206

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Solution

The fourth proportional to 134,822, 186,054.36 and 75,206 is: 103,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,822 : 186,054.36 = 75,206 : x
  2. Step 2: Convert to fraction form
    134,822/186,054.36 = 75,206/x
  3. Step 3: Cross multiply
    134,822x = 186,054.36 × 75,206
  4. Step 4: Simplify right side
    134,822x = 13,992,404,198.16
  5. Step 5: Solve for x
    x = 13,992,404,198.16/134,822
  6. Step 6: Final answer
    x = 103,784.28

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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.