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Finding the Fourth Proportional to 75,905.64, 104,708.43 and 45,672.76

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Solution

The fourth proportional to 75,905.64, 104,708.43 and 45,672.76 is: 63,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,905.64 : 104,708.43 = 45,672.76 : x
  2. Step 2: Convert to fraction form
    75,905.64/104,708.43 = 45,672.76/x
  3. Step 3: Cross multiply
    75,905.64x = 104,708.43 × 45,672.76
  4. Step 4: Simplify right side
    75,905.64x = 4,782,323,316.93
  5. Step 5: Solve for x
    x = 4,782,323,316.93/75,905.64
  6. Step 6: Final answer
    x = 63,003.53

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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.