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Finding the Fourth Proportional to 54,955.85, 75,840.51 and 31,077.90

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Solution

The fourth proportional to 54,955.85, 75,840.51 and 31,077.90 is: 42,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,955.85 : 75,840.51 = 31,077.90 : x
  2. Step 2: Convert to fraction form
    54,955.85/75,840.51 = 31,077.90/x
  3. Step 3: Cross multiply
    54,955.85x = 75,840.51 × 31,077.90
  4. Step 4: Simplify right side
    54,955.85x = 2,356,963,785.73
  5. Step 5: Solve for x
    x = 2,356,963,785.73/54,955.85
  6. Step 6: Final answer
    x = 42,888.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.