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Finding the Fourth Proportional to 54,646.40, 81,969.60 and 51,420.80

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Solution

The fourth proportional to 54,646.40, 81,969.60 and 51,420.80 is: 77,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,646.40 : 81,969.60 = 51,420.80 : x
  2. Step 2: Convert to fraction form
    54,646.40/81,969.60 = 51,420.80/x
  3. Step 3: Cross multiply
    54,646.40x = 81,969.60 × 51,420.80
  4. Step 4: Simplify right side
    54,646.40x = 4,214,942,407.68
  5. Step 5: Solve for x
    x = 4,214,942,407.68/54,646.40
  6. Step 6: Final answer
    x = 77,131.20

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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.