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Finding the Fourth Proportional to 128,970.90, 193,392.90 and 75,766.50

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Solution

The fourth proportional to 128,970.90, 193,392.90 and 75,766.50 is: 113,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,970.90 : 193,392.90 = 75,766.50 : x
  2. Step 2: Convert to fraction form
    128,970.90/193,392.90 = 75,766.50/x
  3. Step 3: Cross multiply
    128,970.90x = 193,392.90 × 75,766.50
  4. Step 4: Simplify right side
    128,970.90x = 14,652,703,157.85
  5. Step 5: Solve for x
    x = 14,652,703,157.85/128,970.90
  6. Step 6: Final answer
    x = 113,612.48

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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.