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Finding the Fourth Proportional to 76,669.74, 105,804.23 and 42,677.49

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Solution

The fourth proportional to 76,669.74, 105,804.23 and 42,677.49 is: 58,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,669.74 : 105,804.23 = 42,677.49 : x
  2. Step 2: Convert to fraction form
    76,669.74/105,804.23 = 42,677.49/x
  3. Step 3: Cross multiply
    76,669.74x = 105,804.23 × 42,677.49
  4. Step 4: Simplify right side
    76,669.74x = 4,515,458,754.40
  5. Step 5: Solve for x
    x = 4,515,458,754.40/76,669.74
  6. Step 6: Final answer
    x = 58,894.93

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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.