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Finding the Fourth Proportional to 75,636, 104,378.40 and 42,102.72

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Solution

The fourth proportional to 75,636, 104,378.40 and 42,102.72 is: 58,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,636 : 104,378.40 = 42,102.72 : x
  2. Step 2: Convert to fraction form
    75,636/104,378.40 = 42,102.72/x
  3. Step 3: Cross multiply
    75,636x = 104,378.40 × 42,102.72
  4. Step 4: Simplify right side
    75,636x = 4,394,614,549.25
  5. Step 5: Solve for x
    x = 4,394,614,549.25/75,636
  6. Step 6: Final answer
    x = 58,102.15

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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.