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Finding the Fourth Proportional to 105,467.25, 145,543.95 and 57,720.49

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Solution

The fourth proportional to 105,467.25, 145,543.95 and 57,720.49 is: 79,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,467.25 : 145,543.95 = 57,720.49 : x
  2. Step 2: Convert to fraction form
    105,467.25/145,543.95 = 57,720.49/x
  3. Step 3: Cross multiply
    105,467.25x = 145,543.95 × 57,720.49
  4. Step 4: Simplify right side
    105,467.25x = 8,400,868,110.54
  5. Step 5: Solve for x
    x = 8,400,868,110.54/105,467.25
  6. Step 6: Final answer
    x = 79,653.81

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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.