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Finding the Fourth Proportional to 204,710.61, 307,161.03 and 78,309.08

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Solution

The fourth proportional to 204,710.61, 307,161.03 and 78,309.08 is: 117,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,710.61 : 307,161.03 = 78,309.08 : x
  2. Step 2: Convert to fraction form
    204,710.61/307,161.03 = 78,309.08/x
  3. Step 3: Cross multiply
    204,710.61x = 307,161.03 × 78,309.08
  4. Step 4: Simplify right side
    204,710.61x = 24,053,496,135.35
  5. Step 5: Solve for x
    x = 24,053,496,135.35/204,710.61
  6. Step 6: Final answer
    x = 117,500.00

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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.