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Finding the Fourth Proportional to 205,090.40, 307,489.80 and 78,681.80

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Solution

The fourth proportional to 205,090.40, 307,489.80 and 78,681.80 is: 117,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,090.40 : 307,489.80 = 78,681.80 : x
  2. Step 2: Convert to fraction form
    205,090.40/307,489.80 = 78,681.80/x
  3. Step 3: Cross multiply
    205,090.40x = 307,489.80 × 78,681.80
  4. Step 4: Simplify right side
    205,090.40x = 24,193,850,945.64
  5. Step 5: Solve for x
    x = 24,193,850,945.64/205,090.40
  6. Step 6: Final answer
    x = 117,966.76

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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.