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Finding the Fourth Proportional to 112,293, 154,964.64 and 61,992

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Solution

The fourth proportional to 112,293, 154,964.64 and 61,992 is: 85,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,293 : 154,964.64 = 61,992 : x
  2. Step 2: Convert to fraction form
    112,293/154,964.64 = 61,992/x
  3. Step 3: Cross multiply
    112,293x = 154,964.64 × 61,992
  4. Step 4: Simplify right side
    112,293x = 9,606,567,962.88
  5. Step 5: Solve for x
    x = 9,606,567,962.88/112,293
  6. Step 6: Final answer
    x = 85,549.13

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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.