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Finding the Fourth Proportional to 65,200, 89,980.52 and 36,905.80

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Solution

The fourth proportional to 65,200, 89,980.52 and 36,905.80 is: 50,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200 : 89,980.52 = 36,905.80 : x
  2. Step 2: Convert to fraction form
    65,200/89,980.52 = 36,905.80/x
  3. Step 3: Cross multiply
    65,200x = 89,980.52 × 36,905.80
  4. Step 4: Simplify right side
    65,200x = 3,320,803,075.02
  5. Step 5: Solve for x
    x = 3,320,803,075.02/65,200
  6. Step 6: Final answer
    x = 50,932.56

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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.