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Finding the Fourth Proportional to 205,663.88, 308,476.38 and 65,397.80

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Solution

The fourth proportional to 205,663.88, 308,476.38 and 65,397.80 is: 98,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,663.88 : 308,476.38 = 65,397.80 : x
  2. Step 2: Convert to fraction form
    205,663.88/308,476.38 = 65,397.80/x
  3. Step 3: Cross multiply
    205,663.88x = 308,476.38 × 65,397.80
  4. Step 4: Simplify right side
    205,663.88x = 20,173,677,620.40
  5. Step 5: Solve for x
    x = 20,173,677,620.40/205,663.88
  6. Step 6: Final answer
    x = 98,090.52

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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.