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Finding the Fourth Proportional to 208,601.76, 312,799.13 and 66,428.51

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Solution

The fourth proportional to 208,601.76, 312,799.13 and 66,428.51 is: 99,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,601.76 : 312,799.13 = 66,428.51 : x
  2. Step 2: Convert to fraction form
    208,601.76/312,799.13 = 66,428.51/x
  3. Step 3: Cross multiply
    208,601.76x = 312,799.13 × 66,428.51
  4. Step 4: Simplify right side
    208,601.76x = 20,778,778,737.27
  5. Step 5: Solve for x
    x = 20,778,778,737.27/208,601.76
  6. Step 6: Final answer
    x = 99,609.80

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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.