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Finding the Fourth Proportional to 76,769.94, 115,129.19 and 29,374.01

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Solution

The fourth proportional to 76,769.94, 115,129.19 and 29,374.01 is: 44,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,769.94 : 115,129.19 = 29,374.01 : x
  2. Step 2: Convert to fraction form
    76,769.94/115,129.19 = 29,374.01/x
  3. Step 3: Cross multiply
    76,769.94x = 115,129.19 × 29,374.01
  4. Step 4: Simplify right side
    76,769.94x = 3,381,805,402.71
  5. Step 5: Solve for x
    x = 3,381,805,402.71/76,769.94
  6. Step 6: Final answer
    x = 44,051.17

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Why These Related Problems?

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