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Finding the Fourth Proportional to 191,855.16, 264,779.82 and 115,398.84

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Solution

The fourth proportional to 191,855.16, 264,779.82 and 115,398.84 is: 159,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,855.16 : 264,779.82 = 115,398.84 : x
  2. Step 2: Convert to fraction form
    191,855.16/264,779.82 = 115,398.84/x
  3. Step 3: Cross multiply
    191,855.16x = 264,779.82 × 115,398.84
  4. Step 4: Simplify right side
    191,855.16x = 30,555,284,083.41
  5. Step 5: Solve for x
    x = 30,555,284,083.41/191,855.16
  6. Step 6: Final answer
    x = 159,262.25

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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.