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Finding the Fourth Proportional to 99,571.84, 137,408.07 and 57,137.02

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Solution

The fourth proportional to 99,571.84, 137,408.07 and 57,137.02 is: 78,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,571.84 : 137,408.07 = 57,137.02 : x
  2. Step 2: Convert to fraction form
    99,571.84/137,408.07 = 57,137.02/x
  3. Step 3: Cross multiply
    99,571.84x = 137,408.07 × 57,137.02
  4. Step 4: Simplify right side
    99,571.84x = 7,851,087,643.75
  5. Step 5: Solve for x
    x = 7,851,087,643.75/99,571.84
  6. Step 6: Final answer
    x = 78,848.47

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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.