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Finding the Fourth Proportional to 256,119.90, 384,156.81 and 89,897.82

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Solution

The fourth proportional to 256,119.90, 384,156.81 and 89,897.82 is: 134,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,119.90 : 384,156.81 = 89,897.82 : x
  2. Step 2: Convert to fraction form
    256,119.90/384,156.81 = 89,897.82/x
  3. Step 3: Cross multiply
    256,119.90x = 384,156.81 × 89,897.82
  4. Step 4: Simplify right side
    256,119.90x = 34,534,859,757.15
  5. Step 5: Solve for x
    x = 34,534,859,757.15/256,119.90
  6. Step 6: Final answer
    x = 134,838.64

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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.