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Finding the Fourth Proportional to 100,419.64, 150,391.96 and 87,200.16

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Solution

The fourth proportional to 100,419.64, 150,391.96 and 87,200.16 is: 130,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419.64 : 150,391.96 = 87,200.16 : x
  2. Step 2: Convert to fraction form
    100,419.64/150,391.96 = 87,200.16/x
  3. Step 3: Cross multiply
    100,419.64x = 150,391.96 × 87,200.16
  4. Step 4: Simplify right side
    100,419.64x = 13,114,202,974.71
  5. Step 5: Solve for x
    x = 13,114,202,974.71/100,419.64
  6. Step 6: Final answer
    x = 130,594.01

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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.