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Finding the Fourth Proportional to 281,210.66, 421,914.41 and 81,543.02

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Solution

The fourth proportional to 281,210.66, 421,914.41 and 81,543.02 is: 122,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,210.66 : 421,914.41 = 81,543.02 : x
  2. Step 2: Convert to fraction form
    281,210.66/421,914.41 = 81,543.02/x
  3. Step 3: Cross multiply
    281,210.66x = 421,914.41 × 81,543.02
  4. Step 4: Simplify right side
    281,210.66x = 34,404,175,172.92
  5. Step 5: Solve for x
    x = 34,404,175,172.92/281,210.66
  6. Step 6: Final answer
    x = 122,343.07

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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.