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Finding the Fourth Proportional to 57,079.40, 78,769.67 and 31,586.84

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Solution

The fourth proportional to 57,079.40, 78,769.67 and 31,586.84 is: 43,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,079.40 : 78,769.67 = 31,586.84 : x
  2. Step 2: Convert to fraction form
    57,079.40/78,769.67 = 31,586.84/x
  3. Step 3: Cross multiply
    57,079.40x = 78,769.67 × 31,586.84
  4. Step 4: Simplify right side
    57,079.40x = 2,488,084,411.36
  5. Step 5: Solve for x
    x = 2,488,084,411.36/57,079.40
  6. Step 6: Final answer
    x = 43,589.89

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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.