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Finding the Fourth Proportional to 150,257.94, 207,361.55 and 85,737.68

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Solution

The fourth proportional to 150,257.94, 207,361.55 and 85,737.68 is: 118,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,257.94 : 207,361.55 = 85,737.68 : x
  2. Step 2: Convert to fraction form
    150,257.94/207,361.55 = 85,737.68/x
  3. Step 3: Cross multiply
    150,257.94x = 207,361.55 × 85,737.68
  4. Step 4: Simplify right side
    150,257.94x = 17,778,698,307.92
  5. Step 5: Solve for x
    x = 17,778,698,307.92/150,257.94
  6. Step 6: Final answer
    x = 118,321.19

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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.