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Finding the Fourth Proportional to 117,857.32, 162,640 and 64,141.20

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Solution

The fourth proportional to 117,857.32, 162,640 and 64,141.20 is: 88,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,857.32 : 162,640 = 64,141.20 : x
  2. Step 2: Convert to fraction form
    117,857.32/162,640 = 64,141.20/x
  3. Step 3: Cross multiply
    117,857.32x = 162,640 × 64,141.20
  4. Step 4: Simplify right side
    117,857.32x = 10,431,924,768
  5. Step 5: Solve for x
    x = 10,431,924,768/117,857.32
  6. Step 6: Final answer
    x = 88,513.17

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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.