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Finding the Fourth Proportional to 106,980.30, 160,470.45 and 40,422.60

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Solution

The fourth proportional to 106,980.30, 160,470.45 and 40,422.60 is: 60,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,980.30 : 160,470.45 = 40,422.60 : x
  2. Step 2: Convert to fraction form
    106,980.30/160,470.45 = 40,422.60/x
  3. Step 3: Cross multiply
    106,980.30x = 160,470.45 × 40,422.60
  4. Step 4: Simplify right side
    106,980.30x = 6,486,632,812.17
  5. Step 5: Solve for x
    x = 6,486,632,812.17/106,980.30
  6. Step 6: Final answer
    x = 60,633.90

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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.