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Finding the Fourth Proportional to 281,097.16, 421,651.88 and 112,696.79

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Solution

The fourth proportional to 281,097.16, 421,651.88 and 112,696.79 is: 169,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,097.16 : 421,651.88 = 112,696.79 : x
  2. Step 2: Convert to fraction form
    281,097.16/421,651.88 = 112,696.79/x
  3. Step 3: Cross multiply
    281,097.16x = 421,651.88 × 112,696.79
  4. Step 4: Simplify right side
    281,097.16x = 47,518,813,373.47
  5. Step 5: Solve for x
    x = 47,518,813,373.47/281,097.16
  6. Step 6: Final answer
    x = 169,047.65

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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.