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Finding the Fourth Proportional to 75,208.70, 112,783.88 and 40,129.22

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Solution

The fourth proportional to 75,208.70, 112,783.88 and 40,129.22 is: 60,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,208.70 : 112,783.88 = 40,129.22 : x
  2. Step 2: Convert to fraction form
    75,208.70/112,783.88 = 40,129.22/x
  3. Step 3: Cross multiply
    75,208.70x = 112,783.88 × 40,129.22
  4. Step 4: Simplify right side
    75,208.70x = 4,525,928,669.38
  5. Step 5: Solve for x
    x = 4,525,928,669.38/75,208.70
  6. Step 6: Final answer
    x = 60,178.26

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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.