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Finding the Fourth Proportional to 51,383.70, 77,075.52 and 21,780.78

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Solution

The fourth proportional to 51,383.70, 77,075.52 and 21,780.78 is: 32,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383.70 : 77,075.52 = 21,780.78 : x
  2. Step 2: Convert to fraction form
    51,383.70/77,075.52 = 21,780.78/x
  3. Step 3: Cross multiply
    51,383.70x = 77,075.52 × 21,780.78
  4. Step 4: Simplify right side
    51,383.70x = 1,678,764,944.51
  5. Step 5: Solve for x
    x = 1,678,764,944.51/51,383.70
  6. Step 6: Final answer
    x = 32,671.16

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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.