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Finding the Fourth Proportional to 75,643.72, 104,387.73 and 45,037.81

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Solution

The fourth proportional to 75,643.72, 104,387.73 and 45,037.81 is: 62,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,643.72 : 104,387.73 = 45,037.81 : x
  2. Step 2: Convert to fraction form
    75,643.72/104,387.73 = 45,037.81/x
  3. Step 3: Cross multiply
    75,643.72x = 104,387.73 × 45,037.81
  4. Step 4: Simplify right side
    75,643.72x = 4,701,394,291.11
  5. Step 5: Solve for x
    x = 4,701,394,291.11/75,643.72
  6. Step 6: Final answer
    x = 62,151.81

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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.