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Finding the Fourth Proportional to 76,322.58, 105,328.74 and 47,659.20

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Solution

The fourth proportional to 76,322.58, 105,328.74 and 47,659.20 is: 65,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,322.58 : 105,328.74 = 47,659.20 : x
  2. Step 2: Convert to fraction form
    76,322.58/105,328.74 = 47,659.20/x
  3. Step 3: Cross multiply
    76,322.58x = 105,328.74 × 47,659.20
  4. Step 4: Simplify right side
    76,322.58x = 5,019,883,485.41
  5. Step 5: Solve for x
    x = 5,019,883,485.41/76,322.58
  6. Step 6: Final answer
    x = 65,771.93

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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.