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Finding the Fourth Proportional to 76,678.76, 105,683.68 and 72,250.08

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Solution

The fourth proportional to 76,678.76, 105,683.68 and 72,250.08 is: 99,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,678.76 : 105,683.68 = 72,250.08 : x
  2. Step 2: Convert to fraction form
    76,678.76/105,683.68 = 72,250.08/x
  3. Step 3: Cross multiply
    76,678.76x = 105,683.68 × 72,250.08
  4. Step 4: Simplify right side
    76,678.76x = 7,635,654,334.69
  5. Step 5: Solve for x
    x = 7,635,654,334.69/76,678.76
  6. Step 6: Final answer
    x = 99,579.78

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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.