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Finding the Fourth Proportional to 85,830.66, 128,764.54 and 35,229.80

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Solution

The fourth proportional to 85,830.66, 128,764.54 and 35,229.80 is: 52,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,830.66 : 128,764.54 = 35,229.80 : x
  2. Step 2: Convert to fraction form
    85,830.66/128,764.54 = 35,229.80/x
  3. Step 3: Cross multiply
    85,830.66x = 128,764.54 × 35,229.80
  4. Step 4: Simplify right side
    85,830.66x = 4,536,348,991.29
  5. Step 5: Solve for x
    x = 4,536,348,991.29/85,830.66
  6. Step 6: Final answer
    x = 52,852.31

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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.