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Finding the Fourth Proportional to 76,680.53, 105,816.53 and 43,140.05

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Solution

The fourth proportional to 76,680.53, 105,816.53 and 43,140.05 is: 59,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,680.53 : 105,816.53 = 43,140.05 : x
  2. Step 2: Convert to fraction form
    76,680.53/105,816.53 = 43,140.05/x
  3. Step 3: Cross multiply
    76,680.53x = 105,816.53 × 43,140.05
  4. Step 4: Simplify right side
    76,680.53x = 4,564,929,973.79
  5. Step 5: Solve for x
    x = 4,564,929,973.79/76,680.53
  6. Step 6: Final answer
    x = 59,531.80

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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.