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Finding the Fourth Proportional to 89,019.84, 122,847.12 and 51,294

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Solution

The fourth proportional to 89,019.84, 122,847.12 and 51,294 is: 70,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,019.84 : 122,847.12 = 51,294 : x
  2. Step 2: Convert to fraction form
    89,019.84/122,847.12 = 51,294/x
  3. Step 3: Cross multiply
    89,019.84x = 122,847.12 × 51,294
  4. Step 4: Simplify right side
    89,019.84x = 6,301,320,173.28
  5. Step 5: Solve for x
    x = 6,301,320,173.28/89,019.84
  6. Step 6: Final answer
    x = 70,785.57

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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.