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Finding the Fourth Proportional to 70,707.77, 106,046.75 and 20,774.31

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Solution

The fourth proportional to 70,707.77, 106,046.75 and 20,774.31 is: 31,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,707.77 : 106,046.75 = 20,774.31 : x
  2. Step 2: Convert to fraction form
    70,707.77/106,046.75 = 20,774.31/x
  3. Step 3: Cross multiply
    70,707.77x = 106,046.75 × 20,774.31
  4. Step 4: Simplify right side
    70,707.77x = 2,203,047,713.25
  5. Step 5: Solve for x
    x = 2,203,047,713.25/70,707.77
  6. Step 6: Final answer
    x = 31,157.08

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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.