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Finding the Fourth Proportional to 70,489.76, 105,762.27 and 31,019.16

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Solution

The fourth proportional to 70,489.76, 105,762.27 and 31,019.16 is: 46,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,489.76 : 105,762.27 = 31,019.16 : x
  2. Step 2: Convert to fraction form
    70,489.76/105,762.27 = 31,019.16/x
  3. Step 3: Cross multiply
    70,489.76x = 105,762.27 × 31,019.16
  4. Step 4: Simplify right side
    70,489.76x = 3,280,656,775.09
  5. Step 5: Solve for x
    x = 3,280,656,775.09/70,489.76
  6. Step 6: Final answer
    x = 46,540.90

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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.