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Finding the Fourth Proportional to 70,075.40, 96,704.32 and 38,245

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Solution

The fourth proportional to 70,075.40, 96,704.32 and 38,245 is: 52,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,075.40 : 96,704.32 = 38,245 : x
  2. Step 2: Convert to fraction form
    70,075.40/96,704.32 = 38,245/x
  3. Step 3: Cross multiply
    70,075.40x = 96,704.32 × 38,245
  4. Step 4: Simplify right side
    70,075.40x = 3,698,456,718.40
  5. Step 5: Solve for x
    x = 3,698,456,718.40/70,075.40
  6. Step 6: Final answer
    x = 52,778.25

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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.