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Finding the Fourth Proportional to 64,847.36, 89,484 and 36,560

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Solution

The fourth proportional to 64,847.36, 89,484 and 36,560 is: 50,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,847.36 : 89,484 = 36,560 : x
  2. Step 2: Convert to fraction form
    64,847.36/89,484 = 36,560/x
  3. Step 3: Cross multiply
    64,847.36x = 89,484 × 36,560
  4. Step 4: Simplify right side
    64,847.36x = 3,271,535,040
  5. Step 5: Solve for x
    x = 3,271,535,040/64,847.36
  6. Step 6: Final answer
    x = 50,449.78

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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.