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Finding the Fourth Proportional to 105,480.30, 145,563.12 and 57,734.04

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Solution

The fourth proportional to 105,480.30, 145,563.12 and 57,734.04 is: 79,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,480.30 : 145,563.12 = 57,734.04 : x
  2. Step 2: Convert to fraction form
    105,480.30/145,563.12 = 57,734.04/x
  3. Step 3: Cross multiply
    105,480.30x = 145,563.12 × 57,734.04
  4. Step 4: Simplify right side
    105,480.30x = 8,403,946,992.60
  5. Step 5: Solve for x
    x = 8,403,946,992.60/105,480.30
  6. Step 6: Final answer
    x = 79,673.14

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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.