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Finding the Fourth Proportional to 205,519.98, 308,069.76 and 104,130.21

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Solution

The fourth proportional to 205,519.98, 308,069.76 and 104,130.21 is: 156,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,519.98 : 308,069.76 = 104,130.21 : x
  2. Step 2: Convert to fraction form
    205,519.98/308,069.76 = 104,130.21/x
  3. Step 3: Cross multiply
    205,519.98x = 308,069.76 × 104,130.21
  4. Step 4: Simplify right side
    205,519.98x = 32,079,367,737.71
  5. Step 5: Solve for x
    x = 32,079,367,737.71/205,519.98
  6. Step 6: Final answer
    x = 156,088.80

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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.