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Finding the Fourth Proportional to 98,021, 135,271.14 and 53,309

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Solution

The fourth proportional to 98,021, 135,271.14 and 53,309 is: 73,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,021 : 135,271.14 = 53,309 : x
  2. Step 2: Convert to fraction form
    98,021/135,271.14 = 53,309/x
  3. Step 3: Cross multiply
    98,021x = 135,271.14 × 53,309
  4. Step 4: Simplify right side
    98,021x = 7,211,169,202.26
  5. Step 5: Solve for x
    x = 7,211,169,202.26/98,021
  6. Step 6: Final answer
    x = 73,567.59

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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.