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Finding the Fourth Proportional to 76,803.66, 105,984.99 and 43,267.50

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Solution

The fourth proportional to 76,803.66, 105,984.99 and 43,267.50 is: 59,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,803.66 : 105,984.99 = 43,267.50 : x
  2. Step 2: Convert to fraction form
    76,803.66/105,984.99 = 43,267.50/x
  3. Step 3: Cross multiply
    76,803.66x = 105,984.99 × 43,267.50
  4. Step 4: Simplify right side
    76,803.66x = 4,585,705,554.83
  5. Step 5: Solve for x
    x = 4,585,705,554.83/76,803.66
  6. Step 6: Final answer
    x = 59,706.86

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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.