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Finding the Fourth Proportional to 136,300, 188,077.60 and 75,855.52

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Solution

The fourth proportional to 136,300, 188,077.60 and 75,855.52 is: 104,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,300 : 188,077.60 = 75,855.52 : x
  2. Step 2: Convert to fraction form
    136,300/188,077.60 = 75,855.52/x
  3. Step 3: Cross multiply
    136,300x = 188,077.60 × 75,855.52
  4. Step 4: Simplify right side
    136,300x = 14,266,724,148.35
  5. Step 5: Solve for x
    x = 14,266,724,148.35/136,300
  6. Step 6: Final answer
    x = 104,671.49

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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.