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Finding the Fourth Proportional to 214,164, 295,138.89 and 156,820.86

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Solution

The fourth proportional to 214,164, 295,138.89 and 156,820.86 is: 216,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,164 : 295,138.89 = 156,820.86 : x
  2. Step 2: Convert to fraction form
    214,164/295,138.89 = 156,820.86/x
  3. Step 3: Cross multiply
    214,164x = 295,138.89 × 156,820.86
  4. Step 4: Simplify right side
    214,164x = 46,283,934,549.25
  5. Step 5: Solve for x
    x = 46,283,934,549.25/214,164
  6. Step 6: Final answer
    x = 216,114.45

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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.