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Finding the Fourth Proportional to 205,172.69, 307,830.11 and 72,071.87

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Solution

The fourth proportional to 205,172.69, 307,830.11 and 72,071.87 is: 108,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,172.69 : 307,830.11 = 72,071.87 : x
  2. Step 2: Convert to fraction form
    205,172.69/307,830.11 = 72,071.87/x
  3. Step 3: Cross multiply
    205,172.69x = 307,830.11 × 72,071.87
  4. Step 4: Simplify right side
    205,172.69x = 22,185,889,770.50
  5. Step 5: Solve for x
    x = 22,185,889,770.50/205,172.69
  6. Step 6: Final answer
    x = 108,132.77

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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.