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Finding the Fourth Proportional to 147,857.84, 222,784.34 and 122,138.48

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Solution

The fourth proportional to 147,857.84, 222,784.34 and 122,138.48 is: 184,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,857.84 : 222,784.34 = 122,138.48 : x
  2. Step 2: Convert to fraction form
    147,857.84/222,784.34 = 122,138.48/x
  3. Step 3: Cross multiply
    147,857.84x = 222,784.34 × 122,138.48
  4. Step 4: Simplify right side
    147,857.84x = 27,210,540,655.40
  5. Step 5: Solve for x
    x = 27,210,540,655.40/147,857.84
  6. Step 6: Final answer
    x = 184,031.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.