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Finding the Fourth Proportional to 76,562, 105,611.52 and 47,831.84

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Solution

The fourth proportional to 76,562, 105,611.52 and 47,831.84 is: 65,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,562 : 105,611.52 = 47,831.84 : x
  2. Step 2: Convert to fraction form
    76,562/105,611.52 = 47,831.84/x
  3. Step 3: Cross multiply
    76,562x = 105,611.52 × 47,831.84
  4. Step 4: Simplify right side
    76,562x = 5,051,593,326.80
  5. Step 5: Solve for x
    x = 5,051,593,326.80/76,562
  6. Step 6: Final answer
    x = 65,980.43

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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.