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Finding the Fourth Proportional to 57,009.36, 78,672.44 and 31,858.88

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Solution

The fourth proportional to 57,009.36, 78,672.44 and 31,858.88 is: 43,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.36 : 78,672.44 = 31,858.88 : x
  2. Step 2: Convert to fraction form
    57,009.36/78,672.44 = 31,858.88/x
  3. Step 3: Cross multiply
    57,009.36x = 78,672.44 × 31,858.88
  4. Step 4: Simplify right side
    57,009.36x = 2,506,415,825.27
  5. Step 5: Solve for x
    x = 2,506,415,825.27/57,009.36
  6. Step 6: Final answer
    x = 43,964.99

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1.5x scale

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.