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Finding the Fourth Proportional to 100,609.50, 138,841.11 and 55,897.50

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Solution

The fourth proportional to 100,609.50, 138,841.11 and 55,897.50 is: 77,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,609.50 : 138,841.11 = 55,897.50 : x
  2. Step 2: Convert to fraction form
    100,609.50/138,841.11 = 55,897.50/x
  3. Step 3: Cross multiply
    100,609.50x = 138,841.11 × 55,897.50
  4. Step 4: Simplify right side
    100,609.50x = 7,760,870,946.23
  5. Step 5: Solve for x
    x = 7,760,870,946.23/100,609.50
  6. Step 6: Final answer
    x = 77,138.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.