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Finding the Fourth Proportional to 128,967.60, 193,385.55 and 75,763.50

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Solution

The fourth proportional to 128,967.60, 193,385.55 and 75,763.50 is: 113,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,967.60 : 193,385.55 = 75,763.50 : x
  2. Step 2: Convert to fraction form
    128,967.60/193,385.55 = 75,763.50/x
  3. Step 3: Cross multiply
    128,967.60x = 193,385.55 × 75,763.50
  4. Step 4: Simplify right side
    128,967.60x = 14,651,565,676.34
  5. Step 5: Solve for x
    x = 14,651,565,676.34/128,967.60
  6. Step 6: Final answer
    x = 113,606.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.