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Finding the Fourth Proportional to 154,713.60, 231,763.20 and 84,467.20

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Solution

The fourth proportional to 154,713.60, 231,763.20 and 84,467.20 is: 126,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,713.60 : 231,763.20 = 84,467.20 : x
  2. Step 2: Convert to fraction form
    154,713.60/231,763.20 = 84,467.20/x
  3. Step 3: Cross multiply
    154,713.60x = 231,763.20 × 84,467.20
  4. Step 4: Simplify right side
    154,713.60x = 19,576,388,567.04
  5. Step 5: Solve for x
    x = 19,576,388,567.04/154,713.60
  6. Step 6: Final answer
    x = 126,533.08

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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.