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Finding the Fourth Proportional to 85,772.64, 128,702.82 and 40,844.76

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Solution

The fourth proportional to 85,772.64, 128,702.82 and 40,844.76 is: 61,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,772.64 : 128,702.82 = 40,844.76 : x
  2. Step 2: Convert to fraction form
    85,772.64/128,702.82 = 40,844.76/x
  3. Step 3: Cross multiply
    85,772.64x = 128,702.82 × 40,844.76
  4. Step 4: Simplify right side
    85,772.64x = 5,256,835,794.22
  5. Step 5: Solve for x
    x = 5,256,835,794.22/85,772.64
  6. Step 6: Final answer
    x = 61,288.03

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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.