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Finding the Fourth Proportional to 221,935, 306,271.40 and 121,333

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Solution

The fourth proportional to 221,935, 306,271.40 and 121,333 is: 167,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,935 : 306,271.40 = 121,333 : x
  2. Step 2: Convert to fraction form
    221,935/306,271.40 = 121,333/x
  3. Step 3: Cross multiply
    221,935x = 306,271.40 × 121,333
  4. Step 4: Simplify right side
    221,935x = 37,160,827,776.20
  5. Step 5: Solve for x
    x = 37,160,827,776.20/221,935
  6. Step 6: Final answer
    x = 167,440.14

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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.