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Finding the Fourth Proportional to 56,121.42, 77,448 and 30,627.98

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Solution

The fourth proportional to 56,121.42, 77,448 and 30,627.98 is: 42,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,121.42 : 77,448 = 30,627.98 : x
  2. Step 2: Convert to fraction form
    56,121.42/77,448 = 30,627.98/x
  3. Step 3: Cross multiply
    56,121.42x = 77,448 × 30,627.98
  4. Step 4: Simplify right side
    56,121.42x = 2,372,075,795.04
  5. Step 5: Solve for x
    x = 2,372,075,795.04/56,121.42
  6. Step 6: Final answer
    x = 42,266.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.