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Finding the Fourth Proportional to 205,330.40, 307,849.80 and 78,921.80

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Solution

The fourth proportional to 205,330.40, 307,849.80 and 78,921.80 is: 118,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,330.40 : 307,849.80 = 78,921.80 : x
  2. Step 2: Convert to fraction form
    205,330.40/307,849.80 = 78,921.80/x
  3. Step 3: Cross multiply
    205,330.40x = 307,849.80 × 78,921.80
  4. Step 4: Simplify right side
    205,330.40x = 24,296,060,345.64
  5. Step 5: Solve for x
    x = 24,296,060,345.64/205,330.40
  6. Step 6: Final answer
    x = 118,326.66

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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.