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Finding the Fourth Proportional to 115,231.06, 159,048.93 and 75,055.06

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Solution

The fourth proportional to 115,231.06, 159,048.93 and 75,055.06 is: 103,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,231.06 : 159,048.93 = 75,055.06 : x
  2. Step 2: Convert to fraction form
    115,231.06/159,048.93 = 75,055.06/x
  3. Step 3: Cross multiply
    115,231.06x = 159,048.93 × 75,055.06
  4. Step 4: Simplify right side
    115,231.06x = 11,937,426,984.09
  5. Step 5: Solve for x
    x = 11,937,426,984.09/115,231.06
  6. Step 6: Final answer
    x = 103,595.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.