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Finding the Fourth Proportional to 211,188.84, 291,367.68 and 120,479.40

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Solution

The fourth proportional to 211,188.84, 291,367.68 and 120,479.40 is: 166,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,188.84 : 291,367.68 = 120,479.40 : x
  2. Step 2: Convert to fraction form
    211,188.84/291,367.68 = 120,479.40/x
  3. Step 3: Cross multiply
    211,188.84x = 291,367.68 × 120,479.40
  4. Step 4: Simplify right side
    211,188.84x = 35,103,803,265.79
  5. Step 5: Solve for x
    x = 35,103,803,265.79/211,188.84
  6. Step 6: Final answer
    x = 166,219.97

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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.