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Finding the Fourth Proportional to 85,594.46, 128,322.13 and 35,711.72

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Solution

The fourth proportional to 85,594.46, 128,322.13 and 35,711.72 is: 53,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,594.46 : 128,322.13 = 35,711.72 : x
  2. Step 2: Convert to fraction form
    85,594.46/128,322.13 = 35,711.72/x
  3. Step 3: Cross multiply
    85,594.46x = 128,322.13 × 35,711.72
  4. Step 4: Simplify right side
    85,594.46x = 4,582,603,976.36
  5. Step 5: Solve for x
    x = 4,582,603,976.36/85,594.46
  6. Step 6: Final answer
    x = 53,538.56

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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.