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Finding the Fourth Proportional to 265,189.98, 397,786.05 and 107,421.42

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Solution

The fourth proportional to 265,189.98, 397,786.05 and 107,421.42 is: 161,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,189.98 : 397,786.05 = 107,421.42 : x
  2. Step 2: Convert to fraction form
    265,189.98/397,786.05 = 107,421.42/x
  3. Step 3: Cross multiply
    265,189.98x = 397,786.05 × 107,421.42
  4. Step 4: Simplify right side
    265,189.98x = 42,730,742,347.19
  5. Step 5: Solve for x
    x = 42,730,742,347.19/265,189.98
  6. Step 6: Final answer
    x = 161,132.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.