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Finding the Fourth Proportional to 222,745.64, 307,402.98 and 122,143.64

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Solution

The fourth proportional to 222,745.64, 307,402.98 and 122,143.64 is: 168,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,745.64 : 307,402.98 = 122,143.64 : x
  2. Step 2: Convert to fraction form
    222,745.64/307,402.98 = 122,143.64/x
  3. Step 3: Cross multiply
    222,745.64x = 307,402.98 × 122,143.64
  4. Step 4: Simplify right side
    222,745.64x = 37,547,318,924.05
  5. Step 5: Solve for x
    x = 37,547,318,924.05/222,745.64
  6. Step 6: Final answer
    x = 168,565.90

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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.