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Finding the Fourth Proportional to 221,937, 306,274.14 and 121,335

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Solution

The fourth proportional to 221,937, 306,274.14 and 121,335 is: 167,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,937 : 306,274.14 = 121,335 : x
  2. Step 2: Convert to fraction form
    221,937/306,274.14 = 121,335/x
  3. Step 3: Cross multiply
    221,937x = 306,274.14 × 121,335
  4. Step 4: Simplify right side
    221,937x = 37,161,772,776.90
  5. Step 5: Solve for x
    x = 37,161,772,776.90/221,937
  6. Step 6: Final answer
    x = 167,442.89

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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.