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Finding the Fourth Proportional to 75,112.77, 112,661.84 and 19,708.77

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Solution

The fourth proportional to 75,112.77, 112,661.84 and 19,708.77 is: 29,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,112.77 : 112,661.84 = 19,708.77 : x
  2. Step 2: Convert to fraction form
    75,112.77/112,661.84 = 19,708.77/x
  3. Step 3: Cross multiply
    75,112.77x = 112,661.84 × 19,708.77
  4. Step 4: Simplify right side
    75,112.77x = 2,220,426,193.79
  5. Step 5: Solve for x
    x = 2,220,426,193.79/75,112.77
  6. Step 6: Final answer
    x = 29,561.23

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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.