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Finding the Fourth Proportional to 75,270, 103,871 and 43,006.08

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Solution

The fourth proportional to 75,270, 103,871 and 43,006.08 is: 59,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,270 : 103,871 = 43,006.08 : x
  2. Step 2: Convert to fraction form
    75,270/103,871 = 43,006.08/x
  3. Step 3: Cross multiply
    75,270x = 103,871 × 43,006.08
  4. Step 4: Simplify right side
    75,270x = 4,467,084,535.68
  5. Step 5: Solve for x
    x = 4,467,084,535.68/75,270
  6. Step 6: Final answer
    x = 59,347.48

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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.