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Finding the Fourth Proportional to 281,011.10, 421,319.55 and 103,495.10

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Solution

The fourth proportional to 281,011.10, 421,319.55 and 103,495.10 is: 155,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,011.10 : 421,319.55 = 103,495.10 : x
  2. Step 2: Convert to fraction form
    281,011.10/421,319.55 = 103,495.10/x
  3. Step 3: Cross multiply
    281,011.10x = 421,319.55 × 103,495.10
  4. Step 4: Simplify right side
    281,011.10x = 43,604,508,959.21
  5. Step 5: Solve for x
    x = 43,604,508,959.21/281,011.10
  6. Step 6: Final answer
    x = 155,170.06

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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.