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Finding the Fourth Proportional to 75,415.80, 113,091.30 and 37,961.40

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Solution

The fourth proportional to 75,415.80, 113,091.30 and 37,961.40 is: 56,925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415.80 : 113,091.30 = 37,961.40 : x
  2. Step 2: Convert to fraction form
    75,415.80/113,091.30 = 37,961.40/x
  3. Step 3: Cross multiply
    75,415.80x = 113,091.30 × 37,961.40
  4. Step 4: Simplify right side
    75,415.80x = 4,293,104,075.82
  5. Step 5: Solve for x
    x = 4,293,104,075.82/75,415.80
  6. Step 6: Final answer
    x = 56,925.79

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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.