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Finding the Fourth Proportional to 70,550.86, 105,742.86 and 31,025.29

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Solution

The fourth proportional to 70,550.86, 105,742.86 and 31,025.29 is: 46,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,550.86 : 105,742.86 = 31,025.29 : x
  2. Step 2: Convert to fraction form
    70,550.86/105,742.86 = 31,025.29/x
  3. Step 3: Cross multiply
    70,550.86x = 105,742.86 × 31,025.29
  4. Step 4: Simplify right side
    70,550.86x = 3,280,702,896.93
  5. Step 5: Solve for x
    x = 3,280,702,896.93/70,550.86
  6. Step 6: Final answer
    x = 46,501.25

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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.