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Finding the Fourth Proportional to 55,762.88, 76,942.85 and 31,563.72

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Solution

The fourth proportional to 55,762.88, 76,942.85 and 31,563.72 is: 43,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.88 : 76,942.85 = 31,563.72 : x
  2. Step 2: Convert to fraction form
    55,762.88/76,942.85 = 31,563.72/x
  3. Step 3: Cross multiply
    55,762.88x = 76,942.85 × 31,563.72
  4. Step 4: Simplify right side
    55,762.88x = 2,428,602,415.58
  5. Step 5: Solve for x
    x = 2,428,602,415.58/55,762.88
  6. Step 6: Final answer
    x = 43,552.32

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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.