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Finding the Fourth Proportional to 75,515, 104,100.54 and 52,783.20

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Solution

The fourth proportional to 75,515, 104,100.54 and 52,783.20 is: 72,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,515 : 104,100.54 = 52,783.20 : x
  2. Step 2: Convert to fraction form
    75,515/104,100.54 = 52,783.20/x
  3. Step 3: Cross multiply
    75,515x = 104,100.54 × 52,783.20
  4. Step 4: Simplify right side
    75,515x = 5,494,759,622.93
  5. Step 5: Solve for x
    x = 5,494,759,622.93/75,515
  6. Step 6: Final answer
    x = 72,763.82

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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.