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Finding the Fourth Proportional to 146,646.32, 202,463.64 and 100,784.96

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Solution

The fourth proportional to 146,646.32, 202,463.64 and 100,784.96 is: 139,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,646.32 : 202,463.64 = 100,784.96 : x
  2. Step 2: Convert to fraction form
    146,646.32/202,463.64 = 100,784.96/x
  3. Step 3: Cross multiply
    146,646.32x = 202,463.64 × 100,784.96
  4. Step 4: Simplify right side
    146,646.32x = 20,405,289,858.85
  5. Step 5: Solve for x
    x = 20,405,289,858.85/146,646.32
  6. Step 6: Final answer
    x = 139,146.28

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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.