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Finding the Fourth Proportional to 99,806.50, 137,732.97 and 55,094.50

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Solution

The fourth proportional to 99,806.50, 137,732.97 and 55,094.50 is: 76,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.50 : 137,732.97 = 55,094.50 : x
  2. Step 2: Convert to fraction form
    99,806.50/137,732.97 = 55,094.50/x
  3. Step 3: Cross multiply
    99,806.50x = 137,732.97 × 55,094.50
  4. Step 4: Simplify right side
    99,806.50x = 7,588,329,115.67
  5. Step 5: Solve for x
    x = 7,588,329,115.67/99,806.50
  6. Step 6: Final answer
    x = 76,030.41

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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.