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Finding the Fourth Proportional to 105,051.68, 144,970.39 and 57,304.00

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Solution

The fourth proportional to 105,051.68, 144,970.39 and 57,304.00 is: 79,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,051.68 : 144,970.39 = 57,304.00 : x
  2. Step 2: Convert to fraction form
    105,051.68/144,970.39 = 57,304.00/x
  3. Step 3: Cross multiply
    105,051.68x = 144,970.39 × 57,304.00
  4. Step 4: Simplify right side
    105,051.68x = 8,307,383,481.40
  5. Step 5: Solve for x
    x = 8,307,383,481.40/105,051.68
  6. Step 6: Final answer
    x = 79,079.02

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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.