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Finding the Fourth Proportional to 217,065.26, 299,454.63 and 130,976.22

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Solution

The fourth proportional to 217,065.26, 299,454.63 and 130,976.22 is: 180,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,065.26 : 299,454.63 = 130,976.22 : x
  2. Step 2: Convert to fraction form
    217,065.26/299,454.63 = 130,976.22/x
  3. Step 3: Cross multiply
    217,065.26x = 299,454.63 × 130,976.22
  4. Step 4: Simplify right side
    217,065.26x = 39,221,434,750.26
  5. Step 5: Solve for x
    x = 39,221,434,750.26/217,065.26
  6. Step 6: Final answer
    x = 180,689.60

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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.