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Finding the Fourth Proportional to 136,120, 187,845.60 and 76,504

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Solution

The fourth proportional to 136,120, 187,845.60 and 76,504 is: 105,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,120 : 187,845.60 = 76,504 : x
  2. Step 2: Convert to fraction form
    136,120/187,845.60 = 76,504/x
  3. Step 3: Cross multiply
    136,120x = 187,845.60 × 76,504
  4. Step 4: Simplify right side
    136,120x = 14,370,939,782.40
  5. Step 5: Solve for x
    x = 14,370,939,782.40/136,120
  6. Step 6: Final answer
    x = 105,575.52

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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.