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Finding the Fourth Proportional to 180,335.64, 270,395.40 and 85,589.40

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Solution

The fourth proportional to 180,335.64, 270,395.40 and 85,589.40 is: 128,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,335.64 : 270,395.40 = 85,589.40 : x
  2. Step 2: Convert to fraction form
    180,335.64/270,395.40 = 85,589.40/x
  3. Step 3: Cross multiply
    180,335.64x = 270,395.40 × 85,589.40
  4. Step 4: Simplify right side
    180,335.64x = 23,142,980,048.76
  5. Step 5: Solve for x
    x = 23,142,980,048.76/180,335.64
  6. Step 6: Final answer
    x = 128,332.81

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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.