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Finding the Fourth Proportional to 57,186.80, 78,916.83 and 31,345.10

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Solution

The fourth proportional to 57,186.80, 78,916.83 and 31,345.10 is: 43,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,186.80 : 78,916.83 = 31,345.10 : x
  2. Step 2: Convert to fraction form
    57,186.80/78,916.83 = 31,345.10/x
  3. Step 3: Cross multiply
    57,186.80x = 78,916.83 × 31,345.10
  4. Step 4: Simplify right side
    57,186.80x = 2,473,655,928.03
  5. Step 5: Solve for x
    x = 2,473,655,928.03/57,186.80
  6. Step 6: Final answer
    x = 43,255.72

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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.