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Finding the Fourth Proportional to 101,266.08, 151,901.55 and 31,146

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Solution

The fourth proportional to 101,266.08, 151,901.55 and 31,146 is: 46,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,266.08 : 151,901.55 = 31,146 : x
  2. Step 2: Convert to fraction form
    101,266.08/151,901.55 = 31,146/x
  3. Step 3: Cross multiply
    101,266.08x = 151,901.55 × 31,146
  4. Step 4: Simplify right side
    101,266.08x = 4,731,125,676.30
  5. Step 5: Solve for x
    x = 4,731,125,676.30/101,266.08
  6. Step 6: Final answer
    x = 46,719.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.