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Finding the Fourth Proportional to 65,321.60, 97,836.60 and 53,657.60

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Solution

The fourth proportional to 65,321.60, 97,836.60 and 53,657.60 is: 80,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,321.60 : 97,836.60 = 53,657.60 : x
  2. Step 2: Convert to fraction form
    65,321.60/97,836.60 = 53,657.60/x
  3. Step 3: Cross multiply
    65,321.60x = 97,836.60 × 53,657.60
  4. Step 4: Simplify right side
    65,321.60x = 5,249,677,148.16
  5. Step 5: Solve for x
    x = 5,249,677,148.16/65,321.60
  6. Step 6: Final answer
    x = 80,366.63

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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.