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Finding the Fourth Proportional to 85,781.59, 128,628.51 and 35,848.06

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Solution

The fourth proportional to 85,781.59, 128,628.51 and 35,848.06 is: 53,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,781.59 : 128,628.51 = 35,848.06 : x
  2. Step 2: Convert to fraction form
    85,781.59/128,628.51 = 35,848.06/x
  3. Step 3: Cross multiply
    85,781.59x = 128,628.51 × 35,848.06
  4. Step 4: Simplify right side
    85,781.59x = 4,611,082,544.19
  5. Step 5: Solve for x
    x = 4,611,082,544.19/85,781.59
  6. Step 6: Final answer
    x = 53,753.75

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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.