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Finding the Fourth Proportional to 76,750.08, 105,924.80 and 43,216

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Solution

The fourth proportional to 76,750.08, 105,924.80 and 43,216 is: 59,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,750.08 : 105,924.80 = 43,216 : x
  2. Step 2: Convert to fraction form
    76,750.08/105,924.80 = 43,216/x
  3. Step 3: Cross multiply
    76,750.08x = 105,924.80 × 43,216
  4. Step 4: Simplify right side
    76,750.08x = 4,577,646,156.80
  5. Step 5: Solve for x
    x = 4,577,646,156.80/76,750.08
  6. Step 6: Final answer
    x = 59,643.54

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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.