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Finding the Fourth Proportional to 70,541.80, 105,812.70 and 31,078.60

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Solution

The fourth proportional to 70,541.80, 105,812.70 and 31,078.60 is: 46,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,541.80 : 105,812.70 = 31,078.60 : x
  2. Step 2: Convert to fraction form
    70,541.80/105,812.70 = 31,078.60/x
  3. Step 3: Cross multiply
    70,541.80x = 105,812.70 × 31,078.60
  4. Step 4: Simplify right side
    70,541.80x = 3,288,510,578.22
  5. Step 5: Solve for x
    x = 3,288,510,578.22/70,541.80
  6. Step 6: Final answer
    x = 46,617.90

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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.