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Finding the Fourth Proportional to 141,216.88, 194,880.64 and 77,556

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Solution

The fourth proportional to 141,216.88, 194,880.64 and 77,556 is: 107,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,216.88 : 194,880.64 = 77,556 : x
  2. Step 2: Convert to fraction form
    141,216.88/194,880.64 = 77,556/x
  3. Step 3: Cross multiply
    141,216.88x = 194,880.64 × 77,556
  4. Step 4: Simplify right side
    141,216.88x = 15,114,162,915.84
  5. Step 5: Solve for x
    x = 15,114,162,915.84/141,216.88
  6. Step 6: Final answer
    x = 107,028.02

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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.