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Finding the Fourth Proportional to 181,808.30, 272,842.05 and 102,838.70

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Solution

The fourth proportional to 181,808.30, 272,842.05 and 102,838.70 is: 154,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,808.30 : 272,842.05 = 102,838.70 : x
  2. Step 2: Convert to fraction form
    181,808.30/272,842.05 = 102,838.70/x
  3. Step 3: Cross multiply
    181,808.30x = 272,842.05 × 102,838.70
  4. Step 4: Simplify right side
    181,808.30x = 28,058,721,727.34
  5. Step 5: Solve for x
    x = 28,058,721,727.34/181,808.30
  6. Step 6: Final answer
    x = 154,331.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.