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Finding the Fourth Proportional to 76,580.46, 105,669.63 and 43,039.98

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Solution

The fourth proportional to 76,580.46, 105,669.63 and 43,039.98 is: 59,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580.46 : 105,669.63 = 43,039.98 : x
  2. Step 2: Convert to fraction form
    76,580.46/105,669.63 = 43,039.98/x
  3. Step 3: Cross multiply
    76,580.46x = 105,669.63 × 43,039.98
  4. Step 4: Simplify right side
    76,580.46x = 4,548,018,761.81
  5. Step 5: Solve for x
    x = 4,548,018,761.81/76,580.46
  6. Step 6: Final answer
    x = 59,388.76

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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.