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Finding the Fourth Proportional to 197,392.50, 272,408.22 and 107,968.50

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Solution

The fourth proportional to 197,392.50, 272,408.22 and 107,968.50 is: 149,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,392.50 : 272,408.22 = 107,968.50 : x
  2. Step 2: Convert to fraction form
    197,392.50/272,408.22 = 107,968.50/x
  3. Step 3: Cross multiply
    197,392.50x = 272,408.22 × 107,968.50
  4. Step 4: Simplify right side
    197,392.50x = 29,411,506,901.07
  5. Step 5: Solve for x
    x = 29,411,506,901.07/197,392.50
  6. Step 6: Final answer
    x = 149,000.12

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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.