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Finding the Fourth Proportional to 76,611.76, 105,721.74 and 42,619.30

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Solution

The fourth proportional to 76,611.76, 105,721.74 and 42,619.30 is: 58,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,611.76 : 105,721.74 = 42,619.30 : x
  2. Step 2: Convert to fraction form
    76,611.76/105,721.74 = 42,619.30/x
  3. Step 3: Cross multiply
    76,611.76x = 105,721.74 × 42,619.30
  4. Step 4: Simplify right side
    76,611.76x = 4,505,786,289.28
  5. Step 5: Solve for x
    x = 4,505,786,289.28/76,611.76
  6. Step 6: Final answer
    x = 58,813.25

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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.