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Finding the Fourth Proportional to 105,594.49, 145,725.65 and 65,329.19

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Solution

The fourth proportional to 105,594.49, 145,725.65 and 65,329.19 is: 90,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,594.49 : 145,725.65 = 65,329.19 : x
  2. Step 2: Convert to fraction form
    105,594.49/145,725.65 = 65,329.19/x
  3. Step 3: Cross multiply
    105,594.49x = 145,725.65 × 65,329.19
  4. Step 4: Simplify right side
    105,594.49x = 9,520,138,676.72
  5. Step 5: Solve for x
    x = 9,520,138,676.72/105,594.49
  6. Step 6: Final answer
    x = 90,157.53

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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.