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Finding the Fourth Proportional to 88,208.64, 121,728 and 48,464.64

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Solution

The fourth proportional to 88,208.64, 121,728 and 48,464.64 is: 66,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,208.64 : 121,728 = 48,464.64 : x
  2. Step 2: Convert to fraction form
    88,208.64/121,728 = 48,464.64/x
  3. Step 3: Cross multiply
    88,208.64x = 121,728 × 48,464.64
  4. Step 4: Simplify right side
    88,208.64x = 5,899,503,697.92
  5. Step 5: Solve for x
    x = 5,899,503,697.92/88,208.64
  6. Step 6: Final answer
    x = 66,881.25

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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.