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Finding the Fourth Proportional to 100,448.88, 138,619.71 and 55,127.22

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Solution

The fourth proportional to 100,448.88, 138,619.71 and 55,127.22 is: 76,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,448.88 : 138,619.71 = 55,127.22 : x
  2. Step 2: Convert to fraction form
    100,448.88/138,619.71 = 55,127.22/x
  3. Step 3: Cross multiply
    100,448.88x = 138,619.71 × 55,127.22
  4. Step 4: Simplify right side
    100,448.88x = 7,641,719,249.51
  5. Step 5: Solve for x
    x = 7,641,719,249.51/100,448.88
  6. Step 6: Final answer
    x = 76,075.70

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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.