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Finding the Fourth Proportional to 57,034, 78,706.92 and 31,888.72

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Solution

The fourth proportional to 57,034, 78,706.92 and 31,888.72 is: 44,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034 : 78,706.92 = 31,888.72 : x
  2. Step 2: Convert to fraction form
    57,034/78,706.92 = 31,888.72/x
  3. Step 3: Cross multiply
    57,034x = 78,706.92 × 31,888.72
  4. Step 4: Simplify right side
    57,034x = 2,509,862,933.94
  5. Step 5: Solve for x
    x = 2,509,862,933.94/57,034
  6. Step 6: Final answer
    x = 44,006.43

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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.