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Finding the Fourth Proportional to 85,573.16, 128,422.81 and 40,594.66

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Solution

The fourth proportional to 85,573.16, 128,422.81 and 40,594.66 is: 60,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,573.16 : 128,422.81 = 40,594.66 : x
  2. Step 2: Convert to fraction form
    85,573.16/128,422.81 = 40,594.66/x
  3. Step 3: Cross multiply
    85,573.16x = 128,422.81 × 40,594.66
  4. Step 4: Simplify right side
    85,573.16x = 5,213,280,037.88
  5. Step 5: Solve for x
    x = 5,213,280,037.88/85,573.16
  6. Step 6: Final answer
    x = 60,921.91

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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.