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Finding the Fourth Proportional to 106,816.43, 147,421.34 and 61,493.42

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Solution

The fourth proportional to 106,816.43, 147,421.34 and 61,493.42 is: 84,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,816.43 : 147,421.34 = 61,493.42 : x
  2. Step 2: Convert to fraction form
    106,816.43/147,421.34 = 61,493.42/x
  3. Step 3: Cross multiply
    106,816.43x = 147,421.34 × 61,493.42
  4. Step 4: Simplify right side
    106,816.43x = 9,065,441,333.01
  5. Step 5: Solve for x
    x = 9,065,441,333.01/106,816.43
  6. Step 6: Final answer
    x = 84,869.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.