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Finding the Fourth Proportional to 57,079, 78,769.02 and 31,933.36

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Solution

The fourth proportional to 57,079, 78,769.02 and 31,933.36 is: 44,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,079 : 78,769.02 = 31,933.36 : x
  2. Step 2: Convert to fraction form
    57,079/78,769.02 = 31,933.36/x
  3. Step 3: Cross multiply
    57,079x = 78,769.02 × 31,933.36
  4. Step 4: Simplify right side
    57,079x = 2,515,359,472.51
  5. Step 5: Solve for x
    x = 2,515,359,472.51/57,079
  6. Step 6: Final answer
    x = 44,068.04

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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.