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Finding the Fourth Proportional to 75,694.72, 104,457.36 and 42,160

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Solution

The fourth proportional to 75,694.72, 104,457.36 and 42,160 is: 58,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,694.72 : 104,457.36 = 42,160 : x
  2. Step 2: Convert to fraction form
    75,694.72/104,457.36 = 42,160/x
  3. Step 3: Cross multiply
    75,694.72x = 104,457.36 × 42,160
  4. Step 4: Simplify right side
    75,694.72x = 4,403,922,297.60
  5. Step 5: Solve for x
    x = 4,403,922,297.60/75,694.72
  6. Step 6: Final answer
    x = 58,180.05

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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.