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Finding the Fourth Proportional to 76,321.74, 105,376.14 and 47,685.00

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Solution

The fourth proportional to 76,321.74, 105,376.14 and 47,685.00 is: 65,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,321.74 : 105,376.14 = 47,685.00 : x
  2. Step 2: Convert to fraction form
    76,321.74/105,376.14 = 47,685.00/x
  3. Step 3: Cross multiply
    76,321.74x = 105,376.14 × 47,685.00
  4. Step 4: Simplify right side
    76,321.74x = 5,024,861,631.06
  5. Step 5: Solve for x
    x = 5,024,861,631.06/76,321.74
  6. Step 6: Final answer
    x = 65,837.88

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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.