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Finding the Fourth Proportional to 281,051.10, 421,632.10 and 81,373.14

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Solution

The fourth proportional to 281,051.10, 421,632.10 and 81,373.14 is: 122,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,051.10 : 421,632.10 = 81,373.14 : x
  2. Step 2: Convert to fraction form
    281,051.10/421,632.10 = 81,373.14/x
  3. Step 3: Cross multiply
    281,051.10x = 421,632.10 × 81,373.14
  4. Step 4: Simplify right side
    281,051.10x = 34,309,528,003.51
  5. Step 5: Solve for x
    x = 34,309,528,003.51/281,051.10
  6. Step 6: Final answer
    x = 122,075.76

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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.