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Finding the Fourth Proportional to 214,646.53, 321,969.79 and 81,526.46

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Solution

The fourth proportional to 214,646.53, 321,969.79 and 81,526.46 is: 122,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,646.53 : 321,969.79 = 81,526.46 : x
  2. Step 2: Convert to fraction form
    214,646.53/321,969.79 = 81,526.46/x
  3. Step 3: Cross multiply
    214,646.53x = 321,969.79 × 81,526.46
  4. Step 4: Simplify right side
    214,646.53x = 26,249,056,660.56
  5. Step 5: Solve for x
    x = 26,249,056,660.56/214,646.53
  6. Step 6: Final answer
    x = 122,289.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.