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Finding the Fourth Proportional to 200,090.70, 276,148.98 and 115,224.30

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Solution

The fourth proportional to 200,090.70, 276,148.98 and 115,224.30 is: 159,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,090.70 : 276,148.98 = 115,224.30 : x
  2. Step 2: Convert to fraction form
    200,090.70/276,148.98 = 115,224.30/x
  3. Step 3: Cross multiply
    200,090.70x = 276,148.98 × 115,224.30
  4. Step 4: Simplify right side
    200,090.70x = 31,819,072,916.21
  5. Step 5: Solve for x
    x = 31,819,072,916.21/200,090.70
  6. Step 6: Final answer
    x = 159,023.25

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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.