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Finding the Fourth Proportional to 137,413.20, 189,722.72 and 85,808.92

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Solution

The fourth proportional to 137,413.20, 189,722.72 and 85,808.92 is: 118,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413.20 : 189,722.72 = 85,808.92 : x
  2. Step 2: Convert to fraction form
    137,413.20/189,722.72 = 85,808.92/x
  3. Step 3: Cross multiply
    137,413.20x = 189,722.72 × 85,808.92
  4. Step 4: Simplify right side
    137,413.20x = 16,279,901,702.66
  5. Step 5: Solve for x
    x = 16,279,901,702.66/137,413.20
  6. Step 6: Final answer
    x = 118,474.07

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1.5x scale

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.