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Finding the Fourth Proportional to 111,521.94, 153,896.10 and 63,774.06

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Solution

The fourth proportional to 111,521.94, 153,896.10 and 63,774.06 is: 88,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,521.94 : 153,896.10 = 63,774.06 : x
  2. Step 2: Convert to fraction form
    111,521.94/153,896.10 = 63,774.06/x
  3. Step 3: Cross multiply
    111,521.94x = 153,896.10 × 63,774.06
  4. Step 4: Simplify right side
    111,521.94x = 9,814,579,115.17
  5. Step 5: Solve for x
    x = 9,814,579,115.17/111,521.94
  6. Step 6: Final answer
    x = 88,005.81

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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.