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Finding the Fourth Proportional to 85,454.76, 128,186.40 and 35,529.60

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Solution

The fourth proportional to 85,454.76, 128,186.40 and 35,529.60 is: 53,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,454.76 : 128,186.40 = 35,529.60 : x
  2. Step 2: Convert to fraction form
    85,454.76/128,186.40 = 35,529.60/x
  3. Step 3: Cross multiply
    85,454.76x = 128,186.40 × 35,529.60
  4. Step 4: Simplify right side
    85,454.76x = 4,554,411,517.44
  5. Step 5: Solve for x
    x = 4,554,411,517.44/85,454.76
  6. Step 6: Final answer
    x = 53,296.17

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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.