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Finding the Fourth Proportional to 89,424.84, 133,961.95 and 51,906.25

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Solution

The fourth proportional to 89,424.84, 133,961.95 and 51,906.25 is: 77,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,424.84 : 133,961.95 = 51,906.25 : x
  2. Step 2: Convert to fraction form
    89,424.84/133,961.95 = 51,906.25/x
  3. Step 3: Cross multiply
    89,424.84x = 133,961.95 × 51,906.25
  4. Step 4: Simplify right side
    89,424.84x = 6,953,462,699.52
  5. Step 5: Solve for x
    x = 6,953,462,699.52/89,424.84
  6. Step 6: Final answer
    x = 77,757.62

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1.5x scale

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.