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Finding the Fourth Proportional to 156,920, 216,550.36 and 85,300

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Solution

The fourth proportional to 156,920, 216,550.36 and 85,300 is: 117,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,920 : 216,550.36 = 85,300 : x
  2. Step 2: Convert to fraction form
    156,920/216,550.36 = 85,300/x
  3. Step 3: Cross multiply
    156,920x = 216,550.36 × 85,300
  4. Step 4: Simplify right side
    156,920x = 18,471,745,708
  5. Step 5: Solve for x
    x = 18,471,745,708/156,920
  6. Step 6: Final answer
    x = 117,714.41

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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.