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Finding the Fourth Proportional to 76,102.64, 104,997.84 and 45,897.20

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Solution

The fourth proportional to 76,102.64, 104,997.84 and 45,897.20 is: 63,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.64 : 104,997.84 = 45,897.20 : x
  2. Step 2: Convert to fraction form
    76,102.64/104,997.84 = 45,897.20/x
  3. Step 3: Cross multiply
    76,102.64x = 104,997.84 × 45,897.20
  4. Step 4: Simplify right side
    76,102.64x = 4,819,106,862.05
  5. Step 5: Solve for x
    x = 4,819,106,862.05/76,102.64
  6. Step 6: Final answer
    x = 63,323.78

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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.