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Finding the Fourth Proportional to 56,399.96, 77,831.64 and 31,249.40

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Solution

The fourth proportional to 56,399.96, 77,831.64 and 31,249.40 is: 43,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,399.96 : 77,831.64 = 31,249.40 : x
  2. Step 2: Convert to fraction form
    56,399.96/77,831.64 = 31,249.40/x
  3. Step 3: Cross multiply
    56,399.96x = 77,831.64 × 31,249.40
  4. Step 4: Simplify right side
    56,399.96x = 2,432,192,051.02
  5. Step 5: Solve for x
    x = 2,432,192,051.02/56,399.96
  6. Step 6: Final answer
    x = 43,124.00

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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.