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Finding the Fourth Proportional to 141,122.40, 194,751.12 and 77,466

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Solution

The fourth proportional to 141,122.40, 194,751.12 and 77,466 is: 106,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,122.40 : 194,751.12 = 77,466 : x
  2. Step 2: Convert to fraction form
    141,122.40/194,751.12 = 77,466/x
  3. Step 3: Cross multiply
    141,122.40x = 194,751.12 × 77,466
  4. Step 4: Simplify right side
    141,122.40x = 15,086,590,261.92
  5. Step 5: Solve for x
    x = 15,086,590,261.92/141,122.40
  6. Step 6: Final answer
    x = 106,904.29

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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.