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Finding the Fourth Proportional to 185,610, 256,141.98 and 100,727.08

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Solution

The fourth proportional to 185,610, 256,141.98 and 100,727.08 is: 139,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,610 : 256,141.98 = 100,727.08 : x
  2. Step 2: Convert to fraction form
    185,610/256,141.98 = 100,727.08/x
  3. Step 3: Cross multiply
    185,610x = 256,141.98 × 100,727.08
  4. Step 4: Simplify right side
    185,610x = 25,800,433,710.82
  5. Step 5: Solve for x
    x = 25,800,433,710.82/185,610
  6. Step 6: Final answer
    x = 139,003.47

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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.