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Finding the Fourth Proportional to 221,894.40, 306,219.10 and 121,292.40

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Solution

The fourth proportional to 221,894.40, 306,219.10 and 121,292.40 is: 167,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,894.40 : 306,219.10 = 121,292.40 : x
  2. Step 2: Convert to fraction form
    221,894.40/306,219.10 = 121,292.40/x
  3. Step 3: Cross multiply
    221,894.40x = 306,219.10 × 121,292.40
  4. Step 4: Simplify right side
    221,894.40x = 37,142,049,564.84
  5. Step 5: Solve for x
    x = 37,142,049,564.84/221,894.40
  6. Step 6: Final answer
    x = 167,386.15

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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.