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Finding the Fourth Proportional to 102,188.91, 154,243.16 and 102,188.91

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Solution

The fourth proportional to 102,188.91, 154,243.16 and 102,188.91 is: 154,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,188.91 : 154,243.16 = 102,188.91 : x
  2. Step 2: Convert to fraction form
    102,188.91/154,243.16 = 102,188.91/x
  3. Step 3: Cross multiply
    102,188.91x = 154,243.16 × 102,188.91
  4. Step 4: Simplify right side
    102,188.91x = 15,761,940,395.36
  5. Step 5: Solve for x
    x = 15,761,940,395.36/102,188.91
  6. Step 6: Final answer
    x = 154,243.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.