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Finding the Fourth Proportional to 76,831.50, 115,292.61 and 32,455.38

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Solution

The fourth proportional to 76,831.50, 115,292.61 and 32,455.38 is: 48,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,831.50 : 115,292.61 = 32,455.38 : x
  2. Step 2: Convert to fraction form
    76,831.50/115,292.61 = 32,455.38/x
  3. Step 3: Cross multiply
    76,831.50x = 115,292.61 × 32,455.38
  4. Step 4: Simplify right side
    76,831.50x = 3,741,865,468.74
  5. Step 5: Solve for x
    x = 3,741,865,468.74/76,831.50
  6. Step 6: Final answer
    x = 48,702.23

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