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Finding the Fourth Proportional to 106,413.60, 159,620.40 and 89,306.40

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Solution

The fourth proportional to 106,413.60, 159,620.40 and 89,306.40 is: 133,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,413.60 : 159,620.40 = 89,306.40 : x
  2. Step 2: Convert to fraction form
    106,413.60/159,620.40 = 89,306.40/x
  3. Step 3: Cross multiply
    106,413.60x = 159,620.40 × 89,306.40
  4. Step 4: Simplify right side
    106,413.60x = 14,255,123,290.56
  5. Step 5: Solve for x
    x = 14,255,123,290.56/106,413.60
  6. Step 6: Final answer
    x = 133,959.60

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1.5x scale

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.