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Finding the Fourth Proportional to 180,200.64, 270,070.88 and 85,430.64

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Solution

The fourth proportional to 180,200.64, 270,070.88 and 85,430.64 is: 128,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,200.64 : 270,070.88 = 85,430.64 : x
  2. Step 2: Convert to fraction form
    180,200.64/270,070.88 = 85,430.64/x
  3. Step 3: Cross multiply
    180,200.64x = 270,070.88 × 85,430.64
  4. Step 4: Simplify right side
    180,200.64x = 23,072,328,123.76
  5. Step 5: Solve for x
    x = 23,072,328,123.76/180,200.64
  6. Step 6: Final answer
    x = 128,036.88

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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.