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Finding the Fourth Proportional to 76,980.94, 106,227.63 and 42,986.77

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Solution

The fourth proportional to 76,980.94, 106,227.63 and 42,986.77 is: 59,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980.94 : 106,227.63 = 42,986.77 : x
  2. Step 2: Convert to fraction form
    76,980.94/106,227.63 = 42,986.77/x
  3. Step 3: Cross multiply
    76,980.94x = 106,227.63 × 42,986.77
  4. Step 4: Simplify right side
    76,980.94x = 4,566,382,698.46
  5. Step 5: Solve for x
    x = 4,566,382,698.46/76,980.94
  6. Step 6: Final answer
    x = 59,318.35

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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.