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Finding the Fourth Proportional to 100,564.72, 138,790.20 and 64,299.04

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Solution

The fourth proportional to 100,564.72, 138,790.20 and 64,299.04 is: 88,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.72 : 138,790.20 = 64,299.04 : x
  2. Step 2: Convert to fraction form
    100,564.72/138,790.20 = 64,299.04/x
  3. Step 3: Cross multiply
    100,564.72x = 138,790.20 × 64,299.04
  4. Step 4: Simplify right side
    100,564.72x = 8,924,076,621.41
  5. Step 5: Solve for x
    x = 8,924,076,621.41/100,564.72
  6. Step 6: Final answer
    x = 88,739.64

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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.