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Finding the Fourth Proportional to 280,170.90, 420,001.20 and 102,635.10

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Solution

The fourth proportional to 280,170.90, 420,001.20 and 102,635.10 is: 153,859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,170.90 : 420,001.20 = 102,635.10 : x
  2. Step 2: Convert to fraction form
    280,170.90/420,001.20 = 102,635.10/x
  3. Step 3: Cross multiply
    280,170.90x = 420,001.20 × 102,635.10
  4. Step 4: Simplify right side
    280,170.90x = 43,106,865,162.12
  5. Step 5: Solve for x
    x = 43,106,865,162.12/280,170.90
  6. Step 6: Final answer
    x = 153,859.18

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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.