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Finding the Fourth Proportional to 156,684, 216,223.68 and 85,063.52

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Solution

The fourth proportional to 156,684, 216,223.68 and 85,063.52 is: 117,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,684 : 216,223.68 = 85,063.52 : x
  2. Step 2: Convert to fraction form
    156,684/216,223.68 = 85,063.52/x
  3. Step 3: Cross multiply
    156,684x = 216,223.68 × 85,063.52
  4. Step 4: Simplify right side
    156,684x = 18,392,747,328.15
  5. Step 5: Solve for x
    x = 18,392,747,328.15/156,684
  6. Step 6: Final answer
    x = 117,387.53

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1.5x scale

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.