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Finding the Fourth Proportional to 51,970.78, 77,948.07 and 16,910.20

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Solution

The fourth proportional to 51,970.78, 77,948.07 and 16,910.20 is: 25,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,970.78 : 77,948.07 = 16,910.20 : x
  2. Step 2: Convert to fraction form
    51,970.78/77,948.07 = 16,910.20/x
  3. Step 3: Cross multiply
    51,970.78x = 77,948.07 × 16,910.20
  4. Step 4: Simplify right side
    51,970.78x = 1,318,117,453.31
  5. Step 5: Solve for x
    x = 1,318,117,453.31/51,970.78
  6. Step 6: Final answer
    x = 25,362.66

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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.