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Finding the Fourth Proportional to 137,382.86, 206,088.28 and 47,413.87

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Solution

The fourth proportional to 137,382.86, 206,088.28 and 47,413.87 is: 71,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,382.86 : 206,088.28 = 47,413.87 : x
  2. Step 2: Convert to fraction form
    137,382.86/206,088.28 = 47,413.87/x
  3. Step 3: Cross multiply
    137,382.86x = 206,088.28 × 47,413.87
  4. Step 4: Simplify right side
    137,382.86x = 9,771,442,916.44
  5. Step 5: Solve for x
    x = 9,771,442,916.44/137,382.86
  6. Step 6: Final answer
    x = 71,125.63

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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.