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Finding the Fourth Proportional to 206,981.46, 310,178.16 and 159,416.64

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Solution

The fourth proportional to 206,981.46, 310,178.16 and 159,416.64 is: 238,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,981.46 : 310,178.16 = 159,416.64 : x
  2. Step 2: Convert to fraction form
    206,981.46/310,178.16 = 159,416.64/x
  3. Step 3: Cross multiply
    206,981.46x = 310,178.16 × 159,416.64
  4. Step 4: Simplify right side
    206,981.46x = 49,447,560,068.58
  5. Step 5: Solve for x
    x = 49,447,560,068.58/206,981.46
  6. Step 6: Final answer
    x = 238,898.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.