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Finding the Fourth Proportional to 200,189.64, 276,488.46 and 136,416.72

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Solution

The fourth proportional to 200,189.64, 276,488.46 and 136,416.72 is: 188,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,189.64 : 276,488.46 = 136,416.72 : x
  2. Step 2: Convert to fraction form
    200,189.64/276,488.46 = 136,416.72/x
  3. Step 3: Cross multiply
    200,189.64x = 276,488.46 × 136,416.72
  4. Step 4: Simplify right side
    200,189.64x = 37,717,648,831.05
  5. Step 5: Solve for x
    x = 37,717,648,831.05/200,189.64
  6. Step 6: Final answer
    x = 188,409.59

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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.