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Finding the Fourth Proportional to 75,156.54, 103,785.75 and 56,260.86

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Solution

The fourth proportional to 75,156.54, 103,785.75 and 56,260.86 is: 77,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,156.54 : 103,785.75 = 56,260.86 : x
  2. Step 2: Convert to fraction form
    75,156.54/103,785.75 = 56,260.86/x
  3. Step 3: Cross multiply
    75,156.54x = 103,785.75 × 56,260.86
  4. Step 4: Simplify right side
    75,156.54x = 5,839,075,550.75
  5. Step 5: Solve for x
    x = 5,839,075,550.75/75,156.54
  6. Step 6: Final answer
    x = 77,692.18

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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.