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Finding the Fourth Proportional to 105,054.54, 144,976.31 and 57,308.88

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Solution

The fourth proportional to 105,054.54, 144,976.31 and 57,308.88 is: 79,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,054.54 : 144,976.31 = 57,308.88 : x
  2. Step 2: Convert to fraction form
    105,054.54/144,976.31 = 57,308.88/x
  3. Step 3: Cross multiply
    105,054.54x = 144,976.31 × 57,308.88
  4. Step 4: Simplify right side
    105,054.54x = 8,308,429,666.09
  5. Step 5: Solve for x
    x = 8,308,429,666.09/105,054.54
  6. Step 6: Final answer
    x = 79,086.82

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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.