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Finding the Fourth Proportional to 153,666, 212,043.51 and 85,676.52

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Solution

The fourth proportional to 153,666, 212,043.51 and 85,676.52 is: 118,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,666 : 212,043.51 = 85,676.52 : x
  2. Step 2: Convert to fraction form
    153,666/212,043.51 = 85,676.52/x
  3. Step 3: Cross multiply
    153,666x = 212,043.51 × 85,676.52
  4. Step 4: Simplify right side
    153,666x = 18,167,150,025.39
  5. Step 5: Solve for x
    x = 18,167,150,025.39/153,666
  6. Step 6: Final answer
    x = 118,224.92

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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.