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Finding the Fourth Proportional to 96,777.96, 145,030.80 and 76,968.60

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Solution

The fourth proportional to 96,777.96, 145,030.80 and 76,968.60 is: 115,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,777.96 : 145,030.80 = 76,968.60 : x
  2. Step 2: Convert to fraction form
    96,777.96/145,030.80 = 76,968.60/x
  3. Step 3: Cross multiply
    96,777.96x = 145,030.80 × 76,968.60
  4. Step 4: Simplify right side
    96,777.96x = 11,162,817,632.88
  5. Step 5: Solve for x
    x = 11,162,817,632.88/96,777.96
  6. Step 6: Final answer
    x = 115,344.63

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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.