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Finding the Fourth Proportional to 256,726.82, 354,165.12 and 166,112.32

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Solution

The fourth proportional to 256,726.82, 354,165.12 and 166,112.32 is: 229,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,726.82 : 354,165.12 = 166,112.32 : x
  2. Step 2: Convert to fraction form
    256,726.82/354,165.12 = 166,112.32/x
  3. Step 3: Cross multiply
    256,726.82x = 354,165.12 × 166,112.32
  4. Step 4: Simplify right side
    256,726.82x = 58,831,189,746.28
  5. Step 5: Solve for x
    x = 58,831,189,746.28/256,726.82
  6. Step 6: Final answer
    x = 229,158.72

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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.