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Finding the Fourth Proportional to 70,565.40, 105,761.70 and 31,080.60

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Solution

The fourth proportional to 70,565.40, 105,761.70 and 31,080.60 is: 46,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,565.40 : 105,761.70 = 31,080.60 : x
  2. Step 2: Convert to fraction form
    70,565.40/105,761.70 = 31,080.60/x
  3. Step 3: Cross multiply
    70,565.40x = 105,761.70 × 31,080.60
  4. Step 4: Simplify right side
    70,565.40x = 3,287,137,093.02
  5. Step 5: Solve for x
    x = 3,287,137,093.02/70,565.40
  6. Step 6: Final answer
    x = 46,582.85

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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.