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Finding the Fourth Proportional to 149,495.76, 206,303.40 and 82,427.76

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Solution

The fourth proportional to 149,495.76, 206,303.40 and 82,427.76 is: 113,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,495.76 : 206,303.40 = 82,427.76 : x
  2. Step 2: Convert to fraction form
    149,495.76/206,303.40 = 82,427.76/x
  3. Step 3: Cross multiply
    149,495.76x = 206,303.40 × 82,427.76
  4. Step 4: Simplify right side
    149,495.76x = 17,005,127,142.38
  5. Step 5: Solve for x
    x = 17,005,127,142.38/149,495.76
  6. Step 6: Final answer
    x = 113,749.90

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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.