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Finding the Fourth Proportional to 60,831.80, 91,218.54 and 31,234.40

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Solution

The fourth proportional to 60,831.80, 91,218.54 and 31,234.40 is: 46,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,831.80 : 91,218.54 = 31,234.40 : x
  2. Step 2: Convert to fraction form
    60,831.80/91,218.54 = 31,234.40/x
  3. Step 3: Cross multiply
    60,831.80x = 91,218.54 × 31,234.40
  4. Step 4: Simplify right side
    60,831.80x = 2,849,156,365.78
  5. Step 5: Solve for x
    x = 2,849,156,365.78/60,831.80
  6. Step 6: Final answer
    x = 46,836.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.