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Finding the Fourth Proportional to 209,655.59, 289,329.90 and 114,167.48

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Solution

The fourth proportional to 209,655.59, 289,329.90 and 114,167.48 is: 157,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,655.59 : 289,329.90 = 114,167.48 : x
  2. Step 2: Convert to fraction form
    209,655.59/289,329.90 = 114,167.48/x
  3. Step 3: Cross multiply
    209,655.59x = 289,329.90 × 114,167.48
  4. Step 4: Simplify right side
    209,655.59x = 33,032,065,571.65
  5. Step 5: Solve for x
    x = 33,032,065,571.65/209,655.59
  6. Step 6: Final answer
    x = 157,553.95

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1.5x scale

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.