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Finding the Fourth Proportional to 181,881.78, 250,997.31 and 105,415.71

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Solution

The fourth proportional to 181,881.78, 250,997.31 and 105,415.71 is: 145,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,881.78 : 250,997.31 = 105,415.71 : x
  2. Step 2: Convert to fraction form
    181,881.78/250,997.31 = 105,415.71/x
  3. Step 3: Cross multiply
    181,881.78x = 250,997.31 × 105,415.71
  4. Step 4: Simplify right side
    181,881.78x = 26,459,059,641.74
  5. Step 5: Solve for x
    x = 26,459,059,641.74/181,881.78
  6. Step 6: Final answer
    x = 145,473.94

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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.