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Finding the Fourth Proportional to 97,141.36, 145,736.34 and 30,578.80

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Solution

The fourth proportional to 97,141.36, 145,736.34 and 30,578.80 is: 45,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,141.36 : 145,736.34 = 30,578.80 : x
  2. Step 2: Convert to fraction form
    97,141.36/145,736.34 = 30,578.80/x
  3. Step 3: Cross multiply
    97,141.36x = 145,736.34 × 30,578.80
  4. Step 4: Simplify right side
    97,141.36x = 4,456,442,393.59
  5. Step 5: Solve for x
    x = 4,456,442,393.59/97,141.36
  6. Step 6: Final answer
    x = 45,875.85

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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.