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Finding the Fourth Proportional to 64,918.68, 89,563.77 and 47,963.76

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Solution

The fourth proportional to 64,918.68, 89,563.77 and 47,963.76 is: 66,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,918.68 : 89,563.77 = 47,963.76 : x
  2. Step 2: Convert to fraction form
    64,918.68/89,563.77 = 47,963.76/x
  3. Step 3: Cross multiply
    64,918.68x = 89,563.77 × 47,963.76
  4. Step 4: Simplify right side
    64,918.68x = 4,295,815,168.98
  5. Step 5: Solve for x
    x = 4,295,815,168.98/64,918.68
  6. Step 6: Final answer
    x = 66,172.25

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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.