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Finding the Fourth Proportional to 119,709, 179,564.40 and 53,131.23

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Solution

The fourth proportional to 119,709, 179,564.40 and 53,131.23 is: 79,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,709 : 179,564.40 = 53,131.23 : x
  2. Step 2: Convert to fraction form
    119,709/179,564.40 = 53,131.23/x
  3. Step 3: Cross multiply
    119,709x = 179,564.40 × 53,131.23
  4. Step 4: Simplify right side
    119,709x = 9,540,477,436.21
  5. Step 5: Solve for x
    x = 9,540,477,436.21/119,709
  6. Step 6: Final answer
    x = 79,697.24

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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.