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Finding the Fourth Proportional to 102,898.51, 154,356.99 and 28,019.05

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Solution

The fourth proportional to 102,898.51, 154,356.99 and 28,019.05 is: 42,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,898.51 : 154,356.99 = 28,019.05 : x
  2. Step 2: Convert to fraction form
    102,898.51/154,356.99 = 28,019.05/x
  3. Step 3: Cross multiply
    102,898.51x = 154,356.99 × 28,019.05
  4. Step 4: Simplify right side
    102,898.51x = 4,324,936,220.66
  5. Step 5: Solve for x
    x = 4,324,936,220.66/102,898.51
  6. Step 6: Final answer
    x = 42,031.09

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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.