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Finding the Fourth Proportional to 134,309.80, 201,221.70 and 106,413.40

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Solution

The fourth proportional to 134,309.80, 201,221.70 and 106,413.40 is: 159,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,309.80 : 201,221.70 = 106,413.40 : x
  2. Step 2: Convert to fraction form
    134,309.80/201,221.70 = 106,413.40/x
  3. Step 3: Cross multiply
    134,309.80x = 201,221.70 × 106,413.40
  4. Step 4: Simplify right side
    134,309.80x = 21,412,685,250.78
  5. Step 5: Solve for x
    x = 21,412,685,250.78/134,309.80
  6. Step 6: Final answer
    x = 159,427.57

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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.