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Finding the Fourth Proportional to 142,361.60, 196,452.86 and 77,829.64

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Solution

The fourth proportional to 142,361.60, 196,452.86 and 77,829.64 is: 107,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,361.60 : 196,452.86 = 77,829.64 : x
  2. Step 2: Convert to fraction form
    142,361.60/196,452.86 = 77,829.64/x
  3. Step 3: Cross multiply
    142,361.60x = 196,452.86 × 77,829.64
  4. Step 4: Simplify right side
    142,361.60x = 15,289,855,370.77
  5. Step 5: Solve for x
    x = 15,289,855,370.77/142,361.60
  6. Step 6: Final answer
    x = 107,401.54

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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.