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Finding the Fourth Proportional to 75,168, 103,731.84 and 45,360

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Solution

The fourth proportional to 75,168, 103,731.84 and 45,360 is: 62,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,168 : 103,731.84 = 45,360 : x
  2. Step 2: Convert to fraction form
    75,168/103,731.84 = 45,360/x
  3. Step 3: Cross multiply
    75,168x = 103,731.84 × 45,360
  4. Step 4: Simplify right side
    75,168x = 4,705,276,262.40
  5. Step 5: Solve for x
    x = 4,705,276,262.40/75,168
  6. Step 6: Final answer
    x = 62,596.80

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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.