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Finding the Fourth Proportional to 51,974, 77,995.60 and 19,142

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Solution

The fourth proportional to 51,974, 77,995.60 and 19,142 is: 28,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,974 : 77,995.60 = 19,142 : x
  2. Step 2: Convert to fraction form
    51,974/77,995.60 = 19,142/x
  3. Step 3: Cross multiply
    51,974x = 77,995.60 × 19,142
  4. Step 4: Simplify right side
    51,974x = 1,492,991,775.20
  5. Step 5: Solve for x
    x = 1,492,991,775.20/51,974
  6. Step 6: Final answer
    x = 28,725.74

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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.