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Finding the Fourth Proportional to 98,287, 135,636.12 and 53,575

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Solution

The fourth proportional to 98,287, 135,636.12 and 53,575 is: 73,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,287 : 135,636.12 = 53,575 : x
  2. Step 2: Convert to fraction form
    98,287/135,636.12 = 53,575/x
  3. Step 3: Cross multiply
    98,287x = 135,636.12 × 53,575
  4. Step 4: Simplify right side
    98,287x = 7,266,705,129
  5. Step 5: Solve for x
    x = 7,266,705,129/98,287
  6. Step 6: Final answer
    x = 73,933.53

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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.