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Finding the Fourth Proportional to 105,536.80, 145,638.80 and 57,789.28

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Solution

The fourth proportional to 105,536.80, 145,638.80 and 57,789.28 is: 79,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,536.80 : 145,638.80 = 57,789.28 : x
  2. Step 2: Convert to fraction form
    105,536.80/145,638.80 = 57,789.28/x
  3. Step 3: Cross multiply
    105,536.80x = 145,638.80 × 57,789.28
  4. Step 4: Simplify right side
    105,536.80x = 8,416,361,392.06
  5. Step 5: Solve for x
    x = 8,416,361,392.06/105,536.80
  6. Step 6: Final answer
    x = 79,748.12

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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.