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Finding the Fourth Proportional to 98,413.86, 147,644.23 and 31,854

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Solution

The fourth proportional to 98,413.86, 147,644.23 and 31,854 is: 47,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.86 : 147,644.23 = 31,854 : x
  2. Step 2: Convert to fraction form
    98,413.86/147,644.23 = 31,854/x
  3. Step 3: Cross multiply
    98,413.86x = 147,644.23 × 31,854
  4. Step 4: Simplify right side
    98,413.86x = 4,703,059,302.42
  5. Step 5: Solve for x
    x = 4,703,059,302.42/98,413.86
  6. Step 6: Final answer
    x = 47,788.59

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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.