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Finding the Fourth Proportional to 56,707.96, 78,253.66 and 31,210

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Solution

The fourth proportional to 56,707.96, 78,253.66 and 31,210 is: 43,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,707.96 : 78,253.66 = 31,210 : x
  2. Step 2: Convert to fraction form
    56,707.96/78,253.66 = 31,210/x
  3. Step 3: Cross multiply
    56,707.96x = 78,253.66 × 31,210
  4. Step 4: Simplify right side
    56,707.96x = 2,442,296,728.60
  5. Step 5: Solve for x
    x = 2,442,296,728.60/56,707.96
  6. Step 6: Final answer
    x = 43,067.97

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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.