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Finding the Fourth Proportional to 139,866.96, 209,821.11 and 51,099.72

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Solution

The fourth proportional to 139,866.96, 209,821.11 and 51,099.72 is: 76,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,866.96 : 209,821.11 = 51,099.72 : x
  2. Step 2: Convert to fraction form
    139,866.96/209,821.11 = 51,099.72/x
  3. Step 3: Cross multiply
    139,866.96x = 209,821.11 × 51,099.72
  4. Step 4: Simplify right side
    139,866.96x = 10,721,799,971.09
  5. Step 5: Solve for x
    x = 10,721,799,971.09/139,866.96
  6. Step 6: Final answer
    x = 76,657.13

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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.