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Finding the Fourth Proportional to 147,099.36, 202,998 and 80,031.84

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Solution

The fourth proportional to 147,099.36, 202,998 and 80,031.84 is: 110,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,099.36 : 202,998 = 80,031.84 : x
  2. Step 2: Convert to fraction form
    147,099.36/202,998 = 80,031.84/x
  3. Step 3: Cross multiply
    147,099.36x = 202,998 × 80,031.84
  4. Step 4: Simplify right side
    147,099.36x = 16,246,303,456.32
  5. Step 5: Solve for x
    x = 16,246,303,456.32/147,099.36
  6. Step 6: Final answer
    x = 110,444.42

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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.