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Finding the Fourth Proportional to 209,920.50, 289,689.48 and 114,426.90

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Solution

The fourth proportional to 209,920.50, 289,689.48 and 114,426.90 is: 157,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,920.50 : 289,689.48 = 114,426.90 : x
  2. Step 2: Convert to fraction form
    209,920.50/289,689.48 = 114,426.90/x
  3. Step 3: Cross multiply
    209,920.50x = 289,689.48 × 114,426.90
  4. Step 4: Simplify right side
    209,920.50x = 33,148,269,159.01
  5. Step 5: Solve for x
    x = 33,148,269,159.01/209,920.50
  6. Step 6: Final answer
    x = 157,908.68

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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.