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Finding the Fourth Proportional to 152,775.25, 229,169.09 and 72,772.09

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Solution

The fourth proportional to 152,775.25, 229,169.09 and 72,772.09 is: 109,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,775.25 : 229,169.09 = 72,772.09 : x
  2. Step 2: Convert to fraction form
    152,775.25/229,169.09 = 72,772.09/x
  3. Step 3: Cross multiply
    152,775.25x = 229,169.09 × 72,772.09
  4. Step 4: Simplify right side
    152,775.25x = 16,677,113,642.70
  5. Step 5: Solve for x
    x = 16,677,113,642.70/152,775.25
  6. Step 6: Final answer
    x = 109,161.10

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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.