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Finding the Fourth Proportional to 98,396.60, 135,788.82 and 53,684.60

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Solution

The fourth proportional to 98,396.60, 135,788.82 and 53,684.60 is: 74,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,396.60 : 135,788.82 = 53,684.60 : x
  2. Step 2: Convert to fraction form
    98,396.60/135,788.82 = 53,684.60/x
  3. Step 3: Cross multiply
    98,396.60x = 135,788.82 × 53,684.60
  4. Step 4: Simplify right side
    98,396.60x = 7,289,768,486.17
  5. Step 5: Solve for x
    x = 7,289,768,486.17/98,396.60
  6. Step 6: Final answer
    x = 74,085.57

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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.