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Finding the Fourth Proportional to 215,422, 297,088.80 and 134,856.84

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Solution

The fourth proportional to 215,422, 297,088.80 and 134,856.84 is: 185,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,422 : 297,088.80 = 134,856.84 : x
  2. Step 2: Convert to fraction form
    215,422/297,088.80 = 134,856.84/x
  3. Step 3: Cross multiply
    215,422x = 297,088.80 × 134,856.84
  4. Step 4: Simplify right side
    215,422x = 40,064,456,767.39
  5. Step 5: Solve for x
    x = 40,064,456,767.39/215,422
  6. Step 6: Final answer
    x = 185,981.27

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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.