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Finding the Fourth Proportional to 75,698.56, 104,464.80 and 47,420.88

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Solution

The fourth proportional to 75,698.56, 104,464.80 and 47,420.88 is: 65,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,698.56 : 104,464.80 = 47,420.88 : x
  2. Step 2: Convert to fraction form
    75,698.56/104,464.80 = 47,420.88/x
  3. Step 3: Cross multiply
    75,698.56x = 104,464.80 × 47,420.88
  4. Step 4: Simplify right side
    75,698.56x = 4,953,812,745.02
  5. Step 5: Solve for x
    x = 4,953,812,745.02/75,698.56
  6. Step 6: Final answer
    x = 65,441.31

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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.