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Finding the Fourth Proportional to 70,513.26, 105,779.79 and 20,597.02

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Solution

The fourth proportional to 70,513.26, 105,779.79 and 20,597.02 is: 30,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,513.26 : 105,779.79 = 20,597.02 : x
  2. Step 2: Convert to fraction form
    70,513.26/105,779.79 = 20,597.02/x
  3. Step 3: Cross multiply
    70,513.26x = 105,779.79 × 20,597.02
  4. Step 4: Simplify right side
    70,513.26x = 2,178,748,450.23
  5. Step 5: Solve for x
    x = 2,178,748,450.23/70,513.26
  6. Step 6: Final answer
    x = 30,898.42

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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.