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Finding the Fourth Proportional to 105,725.80, 145,908.06 and 57,986.02

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Solution

The fourth proportional to 105,725.80, 145,908.06 and 57,986.02 is: 80,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,725.80 : 145,908.06 = 57,986.02 : x
  2. Step 2: Convert to fraction form
    105,725.80/145,908.06 = 57,986.02/x
  3. Step 3: Cross multiply
    105,725.80x = 145,908.06 × 57,986.02
  4. Step 4: Simplify right side
    105,725.80x = 8,460,627,685.32
  5. Step 5: Solve for x
    x = 8,460,627,685.32/105,725.80
  6. Step 6: Final answer
    x = 80,024.25

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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.