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Finding the Fourth Proportional to 180,298.49, 270,580.61 and 85,528.96

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Solution

The fourth proportional to 180,298.49, 270,580.61 and 85,528.96 is: 128,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,298.49 : 270,580.61 = 85,528.96 : x
  2. Step 2: Convert to fraction form
    180,298.49/270,580.61 = 85,528.96/x
  3. Step 3: Cross multiply
    180,298.49x = 270,580.61 × 85,528.96
  4. Step 4: Simplify right side
    180,298.49x = 23,142,478,169.47
  5. Step 5: Solve for x
    x = 23,142,478,169.47/180,298.49
  6. Step 6: Final answer
    x = 128,356.47

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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.