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Finding the Fourth Proportional to 117,288, 161,857.44 and 64,296

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Solution

The fourth proportional to 117,288, 161,857.44 and 64,296 is: 88,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,288 : 161,857.44 = 64,296 : x
  2. Step 2: Convert to fraction form
    117,288/161,857.44 = 64,296/x
  3. Step 3: Cross multiply
    117,288x = 161,857.44 × 64,296
  4. Step 4: Simplify right side
    117,288x = 10,406,785,962.24
  5. Step 5: Solve for x
    x = 10,406,785,962.24/117,288
  6. Step 6: Final answer
    x = 88,728.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.