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Finding the Fourth Proportional to 76,992.64, 105,478.14 and 74,114.30

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Solution

The fourth proportional to 76,992.64, 105,478.14 and 74,114.30 is: 101,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,992.64 : 105,478.14 = 74,114.30 : x
  2. Step 2: Convert to fraction form
    76,992.64/105,478.14 = 74,114.30/x
  3. Step 3: Cross multiply
    76,992.64x = 105,478.14 × 74,114.30
  4. Step 4: Simplify right side
    76,992.64x = 7,817,438,511.40
  5. Step 5: Solve for x
    x = 7,817,438,511.40/76,992.64
  6. Step 6: Final answer
    x = 101,534.88

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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.