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Finding the Fourth Proportional to 51,525, 77,284.96 and 30,189.80

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Solution

The fourth proportional to 51,525, 77,284.96 and 30,189.80 is: 45,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,525 : 77,284.96 = 30,189.80 : x
  2. Step 2: Convert to fraction form
    51,525/77,284.96 = 30,189.80/x
  3. Step 3: Cross multiply
    51,525x = 77,284.96 × 30,189.80
  4. Step 4: Simplify right side
    51,525x = 2,333,217,485.41
  5. Step 5: Solve for x
    x = 2,333,217,485.41/51,525
  6. Step 6: Final answer
    x = 45,283.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.