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Finding the Fourth Proportional to 57,036.48, 78,709.04 and 31,886

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Solution

The fourth proportional to 57,036.48, 78,709.04 and 31,886 is: 44,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,036.48 : 78,709.04 = 31,886 : x
  2. Step 2: Convert to fraction form
    57,036.48/78,709.04 = 31,886/x
  3. Step 3: Cross multiply
    57,036.48x = 78,709.04 × 31,886
  4. Step 4: Simplify right side
    57,036.48x = 2,509,716,449.44
  5. Step 5: Solve for x
    x = 2,509,716,449.44/57,036.48
  6. Step 6: Final answer
    x = 44,001.95

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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.