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Finding the Fourth Proportional to 156,289.68, 215,679.50 and 84,670

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Solution

The fourth proportional to 156,289.68, 215,679.50 and 84,670 is: 116,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,289.68 : 215,679.50 = 84,670 : x
  2. Step 2: Convert to fraction form
    156,289.68/215,679.50 = 84,670/x
  3. Step 3: Cross multiply
    156,289.68x = 215,679.50 × 84,670
  4. Step 4: Simplify right side
    156,289.68x = 18,261,583,265
  5. Step 5: Solve for x
    x = 18,261,583,265/156,289.68
  6. Step 6: Final answer
    x = 116,844.46

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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.