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Finding the Fourth Proportional to 77,071.44, 115,606.60 and 39,641.94

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Solution

The fourth proportional to 77,071.44, 115,606.60 and 39,641.94 is: 59,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,071.44 : 115,606.60 = 39,641.94 : x
  2. Step 2: Convert to fraction form
    77,071.44/115,606.60 = 39,641.94/x
  3. Step 3: Cross multiply
    77,071.44x = 115,606.60 × 39,641.94
  4. Step 4: Simplify right side
    77,071.44x = 4,582,869,900.80
  5. Step 5: Solve for x
    x = 4,582,869,900.80/77,071.44
  6. Step 6: Final answer
    x = 59,462.62

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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.