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Finding the Fourth Proportional to 185,356.40, 255,784.97 and 100,471.64

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Solution

The fourth proportional to 185,356.40, 255,784.97 and 100,471.64 is: 138,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,356.40 : 255,784.97 = 100,471.64 : x
  2. Step 2: Convert to fraction form
    185,356.40/255,784.97 = 100,471.64/x
  3. Step 3: Cross multiply
    185,356.40x = 255,784.97 × 100,471.64
  4. Step 4: Simplify right side
    185,356.40x = 25,699,133,641.97
  5. Step 5: Solve for x
    x = 25,699,133,641.97/185,356.40
  6. Step 6: Final answer
    x = 138,647.14

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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.