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Finding the Fourth Proportional to 77,042.40, 115,563.60 and 53,422.80

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Solution

The fourth proportional to 77,042.40, 115,563.60 and 53,422.80 is: 80,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,042.40 : 115,563.60 = 53,422.80 : x
  2. Step 2: Convert to fraction form
    77,042.40/115,563.60 = 53,422.80/x
  3. Step 3: Cross multiply
    77,042.40x = 115,563.60 × 53,422.80
  4. Step 4: Simplify right side
    77,042.40x = 6,173,731,090.08
  5. Step 5: Solve for x
    x = 6,173,731,090.08/77,042.40
  6. Step 6: Final answer
    x = 80,134.20

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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.