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Finding the Fourth Proportional to 101,900.07, 152,707.73 and 86,828.49

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Solution

The fourth proportional to 101,900.07, 152,707.73 and 86,828.49 is: 130,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,900.07 : 152,707.73 = 86,828.49 : x
  2. Step 2: Convert to fraction form
    101,900.07/152,707.73 = 86,828.49/x
  3. Step 3: Cross multiply
    101,900.07x = 152,707.73 × 86,828.49
  4. Step 4: Simplify right side
    101,900.07x = 13,259,381,173.09
  5. Step 5: Solve for x
    x = 13,259,381,173.09/101,900.07
  6. Step 6: Final answer
    x = 130,121.41

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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.