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Finding the Fourth Proportional to 89,405.80, 134,132.01 and 51,929.84

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Solution

The fourth proportional to 89,405.80, 134,132.01 and 51,929.84 is: 77,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,405.80 : 134,132.01 = 51,929.84 : x
  2. Step 2: Convert to fraction form
    89,405.80/134,132.01 = 51,929.84/x
  3. Step 3: Cross multiply
    89,405.80x = 134,132.01 × 51,929.84
  4. Step 4: Simplify right side
    89,405.80x = 6,965,453,818.18
  5. Step 5: Solve for x
    x = 6,965,453,818.18/89,405.80
  6. Step 6: Final answer
    x = 77,908.30

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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.