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Finding the Fourth Proportional to 153,320, 211,581.84 and 85,331.84

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Solution

The fourth proportional to 153,320, 211,581.84 and 85,331.84 is: 117,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,320 : 211,581.84 = 85,331.84 : x
  2. Step 2: Convert to fraction form
    153,320/211,581.84 = 85,331.84/x
  3. Step 3: Cross multiply
    153,320x = 211,581.84 × 85,331.84
  4. Step 4: Simplify right side
    153,320x = 18,054,667,717.79
  5. Step 5: Solve for x
    x = 18,054,667,717.79/153,320
  6. Step 6: Final answer
    x = 117,758.07

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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.