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Finding the Fourth Proportional to 156,642.40, 216,166.72 and 85,022.43

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Solution

The fourth proportional to 156,642.40, 216,166.72 and 85,022.43 is: 117,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,642.40 : 216,166.72 = 85,022.43 : x
  2. Step 2: Convert to fraction form
    156,642.40/216,166.72 = 85,022.43/x
  3. Step 3: Cross multiply
    156,642.40x = 216,166.72 × 85,022.43
  4. Step 4: Simplify right side
    156,642.40x = 18,379,020,572.50
  5. Step 5: Solve for x
    x = 18,379,020,572.50/156,642.40
  6. Step 6: Final answer
    x = 117,331.07

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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.