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Finding the Fourth Proportional to 105,170.68, 157,802.10 and 55,239.22

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Solution

The fourth proportional to 105,170.68, 157,802.10 and 55,239.22 is: 82,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,170.68 : 157,802.10 = 55,239.22 : x
  2. Step 2: Convert to fraction form
    105,170.68/157,802.10 = 55,239.22/x
  3. Step 3: Cross multiply
    105,170.68x = 157,802.10 × 55,239.22
  4. Step 4: Simplify right side
    105,170.68x = 8,716,864,918.36
  5. Step 5: Solve for x
    x = 8,716,864,918.36/105,170.68
  6. Step 6: Final answer
    x = 82,883.03

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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.