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Finding the Fourth Proportional to 77,075.78, 115,621.36 and 20,916.78

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Solution

The fourth proportional to 77,075.78, 115,621.36 and 20,916.78 is: 31,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075.78 : 115,621.36 = 20,916.78 : x
  2. Step 2: Convert to fraction form
    77,075.78/115,621.36 = 20,916.78/x
  3. Step 3: Cross multiply
    77,075.78x = 115,621.36 × 20,916.78
  4. Step 4: Simplify right side
    77,075.78x = 2,418,426,550.42
  5. Step 5: Solve for x
    x = 2,418,426,550.42/77,075.78
  6. Step 6: Final answer
    x = 31,377.26

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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.