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Finding the Fourth Proportional to 281,051.70, 421,573.50 and 70,688.22

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Solution

The fourth proportional to 281,051.70, 421,573.50 and 70,688.22 is: 106,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,051.70 : 421,573.50 = 70,688.22 : x
  2. Step 2: Convert to fraction form
    281,051.70/421,573.50 = 70,688.22/x
  3. Step 3: Cross multiply
    281,051.70x = 421,573.50 × 70,688.22
  4. Step 4: Simplify right side
    281,051.70x = 29,800,280,314.17
  5. Step 5: Solve for x
    x = 29,800,280,314.17/281,051.70
  6. Step 6: Final answer
    x = 106,031.31

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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.