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Finding the Fourth Proportional to 76,284.64, 105,278.64 and 48,014.56

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Solution

The fourth proportional to 76,284.64, 105,278.64 and 48,014.56 is: 66,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,284.64 : 105,278.64 = 48,014.56 : x
  2. Step 2: Convert to fraction form
    76,284.64/105,278.64 = 48,014.56/x
  3. Step 3: Cross multiply
    76,284.64x = 105,278.64 × 48,014.56
  4. Step 4: Simplify right side
    76,284.64x = 5,054,907,577.00
  5. Step 5: Solve for x
    x = 5,054,907,577.00/76,284.64
  6. Step 6: Final answer
    x = 66,263.77

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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.