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Finding the Fourth Proportional to 220,455.84, 304,231.14 and 119,856

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Solution

The fourth proportional to 220,455.84, 304,231.14 and 119,856 is: 165,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,455.84 : 304,231.14 = 119,856 : x
  2. Step 2: Convert to fraction form
    220,455.84/304,231.14 = 119,856/x
  3. Step 3: Cross multiply
    220,455.84x = 304,231.14 × 119,856
  4. Step 4: Simplify right side
    220,455.84x = 36,463,927,515.84
  5. Step 5: Solve for x
    x = 36,463,927,515.84/220,455.84
  6. Step 6: Final answer
    x = 165,402.41

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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.