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Finding the Fourth Proportional to 205,159.88, 307,874.36 and 72,036.70

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Solution

The fourth proportional to 205,159.88, 307,874.36 and 72,036.70 is: 108,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,159.88 : 307,874.36 = 72,036.70 : x
  2. Step 2: Convert to fraction form
    205,159.88/307,874.36 = 72,036.70/x
  3. Step 3: Cross multiply
    205,159.88x = 307,874.36 × 72,036.70
  4. Step 4: Simplify right side
    205,159.88x = 22,178,252,909.01
  5. Step 5: Solve for x
    x = 22,178,252,909.01/205,159.88
  6. Step 6: Final answer
    x = 108,102.29

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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.