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Finding the Fourth Proportional to 421,779.21, 632,668.81 and 106,260.72

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Solution

The fourth proportional to 421,779.21, 632,668.81 and 106,260.72 is: 159,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,779.21 : 632,668.81 = 106,260.72 : x
  2. Step 2: Convert to fraction form
    421,779.21/632,668.81 = 106,260.72/x
  3. Step 3: Cross multiply
    421,779.21x = 632,668.81 × 106,260.72
  4. Step 4: Simplify right side
    421,779.21x = 67,227,843,272.14
  5. Step 5: Solve for x
    x = 67,227,843,272.14/421,779.21
  6. Step 6: Final answer
    x = 159,391.08

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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.