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Finding the Fourth Proportional to 76,655.50, 114,983.77 and 29,257.81

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Solution

The fourth proportional to 76,655.50, 114,983.77 and 29,257.81 is: 43,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,655.50 : 114,983.77 = 29,257.81 : x
  2. Step 2: Convert to fraction form
    76,655.50/114,983.77 = 29,257.81/x
  3. Step 3: Cross multiply
    76,655.50x = 114,983.77 × 29,257.81
  4. Step 4: Simplify right side
    76,655.50x = 3,364,173,295.74
  5. Step 5: Solve for x
    x = 3,364,173,295.74/76,655.50
  6. Step 6: Final answer
    x = 43,886.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.