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Finding the Fourth Proportional to 141,139.40, 194,774.58 and 77,483

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Solution

The fourth proportional to 141,139.40, 194,774.58 and 77,483 is: 106,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,139.40 : 194,774.58 = 77,483 : x
  2. Step 2: Convert to fraction form
    141,139.40/194,774.58 = 77,483/x
  3. Step 3: Cross multiply
    141,139.40x = 194,774.58 × 77,483
  4. Step 4: Simplify right side
    141,139.40x = 15,091,718,782.14
  5. Step 5: Solve for x
    x = 15,091,718,782.14/141,139.40
  6. Step 6: Final answer
    x = 106,927.75

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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.