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Finding the Fourth Proportional to 85,655.86, 128,296.68 and 35,584.14

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Solution

The fourth proportional to 85,655.86, 128,296.68 and 35,584.14 is: 53,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,655.86 : 128,296.68 = 35,584.14 : x
  2. Step 2: Convert to fraction form
    85,655.86/128,296.68 = 35,584.14/x
  3. Step 3: Cross multiply
    85,655.86x = 128,296.68 × 35,584.14
  4. Step 4: Simplify right side
    85,655.86x = 4,565,327,022.66
  5. Step 5: Solve for x
    x = 4,565,327,022.66/85,655.86
  6. Step 6: Final answer
    x = 53,298.48

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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.