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Finding the Fourth Proportional to 100,964.78, 151,269.35 and 89,969.30

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Solution

The fourth proportional to 100,964.78, 151,269.35 and 89,969.30 is: 134,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,964.78 : 151,269.35 = 89,969.30 : x
  2. Step 2: Convert to fraction form
    100,964.78/151,269.35 = 89,969.30/x
  3. Step 3: Cross multiply
    100,964.78x = 151,269.35 × 89,969.30
  4. Step 4: Simplify right side
    100,964.78x = 13,609,596,324.76
  5. Step 5: Solve for x
    x = 13,609,596,324.76/100,964.78
  6. Step 6: Final answer
    x = 134,795.49

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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.