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Finding the Fourth Proportional to 76,991.64, 105,476.77 and 74,113.30

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Solution

The fourth proportional to 76,991.64, 105,476.77 and 74,113.30 is: 101,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,991.64 : 105,476.77 = 74,113.30 : x
  2. Step 2: Convert to fraction form
    76,991.64/105,476.77 = 74,113.30/x
  3. Step 3: Cross multiply
    76,991.64x = 105,476.77 × 74,113.30
  4. Step 4: Simplify right side
    76,991.64x = 7,817,231,498.04
  5. Step 5: Solve for x
    x = 7,817,231,498.04/76,991.64
  6. Step 6: Final answer
    x = 101,533.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.