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Finding the Fourth Proportional to 234,102.72, 322,756.74 and 149,188.80

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Solution

The fourth proportional to 234,102.72, 322,756.74 and 149,188.80 is: 205,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,102.72 : 322,756.74 = 149,188.80 : x
  2. Step 2: Convert to fraction form
    234,102.72/322,756.74 = 149,188.80/x
  3. Step 3: Cross multiply
    234,102.72x = 322,756.74 × 149,188.80
  4. Step 4: Simplify right side
    234,102.72x = 48,151,690,732.51
  5. Step 5: Solve for x
    x = 48,151,690,732.51/234,102.72
  6. Step 6: Final answer
    x = 205,686.17

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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.