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Finding the Fourth Proportional to 221,782, 306,059.16 and 121,180

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Solution

The fourth proportional to 221,782, 306,059.16 and 121,180 is: 167,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,782 : 306,059.16 = 121,180 : x
  2. Step 2: Convert to fraction form
    221,782/306,059.16 = 121,180/x
  3. Step 3: Cross multiply
    221,782x = 306,059.16 × 121,180
  4. Step 4: Simplify right side
    221,782x = 37,088,249,008.80
  5. Step 5: Solve for x
    x = 37,088,249,008.80/221,782
  6. Step 6: Final answer
    x = 167,228.40

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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.