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Finding the Fourth Proportional to 240,139.43, 360,209.14 and 90,413.31

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Solution

The fourth proportional to 240,139.43, 360,209.14 and 90,413.31 is: 135,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,139.43 : 360,209.14 = 90,413.31 : x
  2. Step 2: Convert to fraction form
    240,139.43/360,209.14 = 90,413.31/x
  3. Step 3: Cross multiply
    240,139.43x = 360,209.14 × 90,413.31
  4. Step 4: Simplify right side
    240,139.43x = 32,567,700,639.65
  5. Step 5: Solve for x
    x = 32,567,700,639.65/240,139.43
  6. Step 6: Final answer
    x = 135,619.96

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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.