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Finding the Fourth Proportional to 102,009, 153,022.14 and 28,137

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Solution

The fourth proportional to 102,009, 153,022.14 and 28,137 is: 42,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,009 : 153,022.14 = 28,137 : x
  2. Step 2: Convert to fraction form
    102,009/153,022.14 = 28,137/x
  3. Step 3: Cross multiply
    102,009x = 153,022.14 × 28,137
  4. Step 4: Simplify right side
    102,009x = 4,305,583,953.18
  5. Step 5: Solve for x
    x = 4,305,583,953.18/102,009
  6. Step 6: Final answer
    x = 42,207.88

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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.