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Finding the Fourth Proportional to 110,954, 153,113.64 and 65,634.32

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Solution

The fourth proportional to 110,954, 153,113.64 and 65,634.32 is: 90,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,954 : 153,113.64 = 65,634.32 : x
  2. Step 2: Convert to fraction form
    110,954/153,113.64 = 65,634.32/x
  3. Step 3: Cross multiply
    110,954x = 153,113.64 × 65,634.32
  4. Step 4: Simplify right side
    110,954x = 10,049,509,644.12
  5. Step 5: Solve for x
    x = 10,049,509,644.12/110,954
  6. Step 6: Final answer
    x = 90,573.66

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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.