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Finding the Fourth Proportional to 64,918.92, 97,427.64 and 43,809

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Solution

The fourth proportional to 64,918.92, 97,427.64 and 43,809 is: 65,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,918.92 : 97,427.64 = 43,809 : x
  2. Step 2: Convert to fraction form
    64,918.92/97,427.64 = 43,809/x
  3. Step 3: Cross multiply
    64,918.92x = 97,427.64 × 43,809
  4. Step 4: Simplify right side
    64,918.92x = 4,268,207,480.76
  5. Step 5: Solve for x
    x = 4,268,207,480.76/64,918.92
  6. Step 6: Final answer
    x = 65,746.74

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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.