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Finding the Fourth Proportional to 230,945.40, 346,331.70 and 81,127.80

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Solution

The fourth proportional to 230,945.40, 346,331.70 and 81,127.80 is: 121,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,945.40 : 346,331.70 = 81,127.80 : x
  2. Step 2: Convert to fraction form
    230,945.40/346,331.70 = 81,127.80/x
  3. Step 3: Cross multiply
    230,945.40x = 346,331.70 × 81,127.80
  4. Step 4: Simplify right side
    230,945.40x = 28,097,128,891.26
  5. Step 5: Solve for x
    x = 28,097,128,891.26/230,945.40
  6. Step 6: Final answer
    x = 121,661.35

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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.