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Finding the Fourth Proportional to 180,410.67, 270,643.68 and 130,864.86

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Solution

The fourth proportional to 180,410.67, 270,643.68 and 130,864.86 is: 196,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,410.67 : 270,643.68 = 130,864.86 : x
  2. Step 2: Convert to fraction form
    180,410.67/270,643.68 = 130,864.86/x
  3. Step 3: Cross multiply
    180,410.67x = 270,643.68 × 130,864.86
  4. Step 4: Simplify right side
    180,410.67x = 35,417,747,315.37
  5. Step 5: Solve for x
    x = 35,417,747,315.37/180,410.67
  6. Step 6: Final answer
    x = 196,317.37

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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.