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Finding the Fourth Proportional to 156,390.66, 215,813.33 and 84,769.15

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Solution

The fourth proportional to 156,390.66, 215,813.33 and 84,769.15 is: 116,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,390.66 : 215,813.33 = 84,769.15 : x
  2. Step 2: Convert to fraction form
    156,390.66/215,813.33 = 84,769.15/x
  3. Step 3: Cross multiply
    156,390.66x = 215,813.33 × 84,769.15
  4. Step 4: Simplify right side
    156,390.66x = 18,294,311,570.27
  5. Step 5: Solve for x
    x = 18,294,311,570.27/156,390.66
  6. Step 6: Final answer
    x = 116,978.29

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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.