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Finding the Fourth Proportional to 54,420.60, 81,530.10 and 30,977.40

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Solution

The fourth proportional to 54,420.60, 81,530.10 and 30,977.40 is: 46,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,420.60 : 81,530.10 = 30,977.40 : x
  2. Step 2: Convert to fraction form
    54,420.60/81,530.10 = 30,977.40/x
  3. Step 3: Cross multiply
    54,420.60x = 81,530.10 × 30,977.40
  4. Step 4: Simplify right side
    54,420.60x = 2,525,590,519.74
  5. Step 5: Solve for x
    x = 2,525,590,519.74/54,420.60
  6. Step 6: Final answer
    x = 46,408.72

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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.