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Finding the Fourth Proportional to 181,644, 250,669.80 and 102,156

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Solution

The fourth proportional to 181,644, 250,669.80 and 102,156 is: 140,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,644 : 250,669.80 = 102,156 : x
  2. Step 2: Convert to fraction form
    181,644/250,669.80 = 102,156/x
  3. Step 3: Cross multiply
    181,644x = 250,669.80 × 102,156
  4. Step 4: Simplify right side
    181,644x = 25,607,424,088.80
  5. Step 5: Solve for x
    x = 25,607,424,088.80/181,644
  6. Step 6: Final answer
    x = 140,975.89

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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.