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Finding the Fourth Proportional to 76,912.46, 106,139.21 and 42,457.22

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Solution

The fourth proportional to 76,912.46, 106,139.21 and 42,457.22 is: 58,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,912.46 : 106,139.21 = 42,457.22 : x
  2. Step 2: Convert to fraction form
    76,912.46/106,139.21 = 42,457.22/x
  3. Step 3: Cross multiply
    76,912.46x = 106,139.21 × 42,457.22
  4. Step 4: Simplify right side
    76,912.46x = 4,506,375,789.60
  5. Step 5: Solve for x
    x = 4,506,375,789.60/76,912.46
  6. Step 6: Final answer
    x = 58,590.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.