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Finding the Fourth Proportional to 77,568.84, 116,328.06 and 30,180.60

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Solution

The fourth proportional to 77,568.84, 116,328.06 and 30,180.60 is: 45,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568.84 : 116,328.06 = 30,180.60 : x
  2. Step 2: Convert to fraction form
    77,568.84/116,328.06 = 30,180.60/x
  3. Step 3: Cross multiply
    77,568.84x = 116,328.06 × 30,180.60
  4. Step 4: Simplify right side
    77,568.84x = 3,510,850,647.64
  5. Step 5: Solve for x
    x = 3,510,850,647.64/77,568.84
  6. Step 6: Final answer
    x = 45,261.10

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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.