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Finding the Fourth Proportional to 51,453, 77,109.36 and 28,974.40

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Solution

The fourth proportional to 51,453, 77,109.36 and 28,974.40 is: 43,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,453 : 77,109.36 = 28,974.40 : x
  2. Step 2: Convert to fraction form
    51,453/77,109.36 = 28,974.40/x
  3. Step 3: Cross multiply
    51,453x = 77,109.36 × 28,974.40
  4. Step 4: Simplify right side
    51,453x = 2,234,197,440.38
  5. Step 5: Solve for x
    x = 2,234,197,440.38/51,453
  6. Step 6: Final answer
    x = 43,422.10

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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.