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Finding the Fourth Proportional to 54,782.76, 75,598.47 and 31,815.15

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Solution

The fourth proportional to 54,782.76, 75,598.47 and 31,815.15 is: 43,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.76 : 75,598.47 = 31,815.15 : x
  2. Step 2: Convert to fraction form
    54,782.76/75,598.47 = 31,815.15/x
  3. Step 3: Cross multiply
    54,782.76x = 75,598.47 × 31,815.15
  4. Step 4: Simplify right side
    54,782.76x = 2,405,176,662.82
  5. Step 5: Solve for x
    x = 2,405,176,662.82/54,782.76
  6. Step 6: Final answer
    x = 43,903.90

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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.