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Finding the Fourth Proportional to 153,164.88, 211,341.78 and 85,172.94

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Solution

The fourth proportional to 153,164.88, 211,341.78 and 85,172.94 is: 117,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,164.88 : 211,341.78 = 85,172.94 : x
  2. Step 2: Convert to fraction form
    153,164.88/211,341.78 = 85,172.94/x
  3. Step 3: Cross multiply
    153,164.88x = 211,341.78 × 85,172.94
  4. Step 4: Simplify right side
    153,164.88x = 18,000,600,747.43
  5. Step 5: Solve for x
    x = 18,000,600,747.43/153,164.88
  6. Step 6: Final answer
    x = 117,524.34

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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.