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Finding the Fourth Proportional to 156,413.14, 215,849.61 and 84,793.16

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Solution

The fourth proportional to 156,413.14, 215,849.61 and 84,793.16 is: 117,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,413.14 : 215,849.61 = 84,793.16 : x
  2. Step 2: Convert to fraction form
    156,413.14/215,849.61 = 84,793.16/x
  3. Step 3: Cross multiply
    156,413.14x = 215,849.61 × 84,793.16
  4. Step 4: Simplify right side
    156,413.14x = 18,302,571,056.29
  5. Step 5: Solve for x
    x = 18,302,571,056.29/156,413.14
  6. Step 6: Final answer
    x = 117,014.28

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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.