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Finding the Fourth Proportional to 97,019.93, 133,887.30 and 54,578.49

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Solution

The fourth proportional to 97,019.93, 133,887.30 and 54,578.49 is: 75,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,019.93 : 133,887.30 = 54,578.49 : x
  2. Step 2: Convert to fraction form
    97,019.93/133,887.30 = 54,578.49/x
  3. Step 3: Cross multiply
    97,019.93x = 133,887.30 × 54,578.49
  4. Step 4: Simplify right side
    97,019.93x = 7,307,366,664.18
  5. Step 5: Solve for x
    x = 7,307,366,664.18/97,019.93
  6. Step 6: Final answer
    x = 75,318.21

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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.