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Finding the Fourth Proportional to 75,688.50, 104,450.13 and 42,154.50

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Solution

The fourth proportional to 75,688.50, 104,450.13 and 42,154.50 is: 58,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,688.50 : 104,450.13 = 42,154.50 : x
  2. Step 2: Convert to fraction form
    75,688.50/104,450.13 = 42,154.50/x
  3. Step 3: Cross multiply
    75,688.50x = 104,450.13 × 42,154.50
  4. Step 4: Simplify right side
    75,688.50x = 4,403,043,005.09
  5. Step 5: Solve for x
    x = 4,403,043,005.09/75,688.50
  6. Step 6: Final answer
    x = 58,173.21

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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.