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Finding the Fourth Proportional to 70,576.60, 105,864.90 and 31,091.80

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Solution

The fourth proportional to 70,576.60, 105,864.90 and 31,091.80 is: 46,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,576.60 : 105,864.90 = 31,091.80 : x
  2. Step 2: Convert to fraction form
    70,576.60/105,864.90 = 31,091.80/x
  3. Step 3: Cross multiply
    70,576.60x = 105,864.90 × 31,091.80
  4. Step 4: Simplify right side
    70,576.60x = 3,291,530,297.82
  5. Step 5: Solve for x
    x = 3,291,530,297.82/70,576.60
  6. Step 6: Final answer
    x = 46,637.70

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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.