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Finding the Fourth Proportional to 197,235, 272,184.30 and 107,811

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Solution

The fourth proportional to 197,235, 272,184.30 and 107,811 is: 148,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,235 : 272,184.30 = 107,811 : x
  2. Step 2: Convert to fraction form
    197,235/272,184.30 = 107,811/x
  3. Step 3: Cross multiply
    197,235x = 272,184.30 × 107,811
  4. Step 4: Simplify right side
    197,235x = 29,344,461,567.30
  5. Step 5: Solve for x
    x = 29,344,461,567.30/197,235
  6. Step 6: Final answer
    x = 148,779.18

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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.