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Finding the Fourth Proportional to 141,138.72, 194,765.31 and 77,477.58

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Solution

The fourth proportional to 141,138.72, 194,765.31 and 77,477.58 is: 106,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138.72 : 194,765.31 = 77,477.58 : x
  2. Step 2: Convert to fraction form
    141,138.72/194,765.31 = 77,477.58/x
  3. Step 3: Cross multiply
    141,138.72x = 194,765.31 × 77,477.58
  4. Step 4: Simplify right side
    141,138.72x = 15,089,944,886.75
  5. Step 5: Solve for x
    x = 15,089,944,886.75/141,138.72
  6. Step 6: Final answer
    x = 106,915.70

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1.5x scale

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.