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Finding the Fourth Proportional to 212,228, 292,855.44 and 116,738.72

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Solution

The fourth proportional to 212,228, 292,855.44 and 116,738.72 is: 161,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,228 : 292,855.44 = 116,738.72 : x
  2. Step 2: Convert to fraction form
    212,228/292,855.44 = 116,738.72/x
  3. Step 3: Cross multiply
    212,228x = 292,855.44 × 116,738.72
  4. Step 4: Simplify right side
    212,228x = 34,187,569,210.64
  5. Step 5: Solve for x
    x = 34,187,569,210.64/212,228
  6. Step 6: Final answer
    x = 161,088.87

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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.