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Finding the Fourth Proportional to 76,574.88, 114,853.18 and 20,419.20

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Solution

The fourth proportional to 76,574.88, 114,853.18 and 20,419.20 is: 30,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,574.88 : 114,853.18 = 20,419.20 : x
  2. Step 2: Convert to fraction form
    76,574.88/114,853.18 = 20,419.20/x
  3. Step 3: Cross multiply
    76,574.88x = 114,853.18 × 20,419.20
  4. Step 4: Simplify right side
    76,574.88x = 2,345,210,053.06
  5. Step 5: Solve for x
    x = 2,345,210,053.06/76,574.88
  6. Step 6: Final answer
    x = 30,626.36

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1.5x scale

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.