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Finding the Fourth Proportional to 57,187.30, 78,916.62 and 31,345.78

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Solution

The fourth proportional to 57,187.30, 78,916.62 and 31,345.78 is: 43,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,187.30 : 78,916.62 = 31,345.78 : x
  2. Step 2: Convert to fraction form
    57,187.30/78,916.62 = 31,345.78/x
  3. Step 3: Cross multiply
    57,187.30x = 78,916.62 × 31,345.78
  4. Step 4: Simplify right side
    57,187.30x = 2,473,703,008.86
  5. Step 5: Solve for x
    x = 2,473,703,008.86/57,187.30
  6. Step 6: Final answer
    x = 43,256.16

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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.