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Finding the Fourth Proportional to 112,284, 154,952.19 and 61,983

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Solution

The fourth proportional to 112,284, 154,952.19 and 61,983 is: 85,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,284 : 154,952.19 = 61,983 : x
  2. Step 2: Convert to fraction form
    112,284/154,952.19 = 61,983/x
  3. Step 3: Cross multiply
    112,284x = 154,952.19 × 61,983
  4. Step 4: Simplify right side
    112,284x = 9,604,401,592.77
  5. Step 5: Solve for x
    x = 9,604,401,592.77/112,284
  6. Step 6: Final answer
    x = 85,536.69

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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.