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Finding the Fourth Proportional to 98,503.74, 135,940.41 and 56,075.94

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Solution

The fourth proportional to 98,503.74, 135,940.41 and 56,075.94 is: 77,387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,503.74 : 135,940.41 = 56,075.94 : x
  2. Step 2: Convert to fraction form
    98,503.74/135,940.41 = 56,075.94/x
  3. Step 3: Cross multiply
    98,503.74x = 135,940.41 × 56,075.94
  4. Step 4: Simplify right side
    98,503.74x = 7,622,986,274.74
  5. Step 5: Solve for x
    x = 7,622,986,274.74/98,503.74
  6. Step 6: Final answer
    x = 77,387.79

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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.