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Finding the Fourth Proportional to 136,297, 188,089.80 and 75,866.32

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Solution

The fourth proportional to 136,297, 188,089.80 and 75,866.32 is: 104,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,297 : 188,089.80 = 75,866.32 : x
  2. Step 2: Convert to fraction form
    136,297/188,089.80 = 75,866.32/x
  3. Step 3: Cross multiply
    136,297x = 188,089.80 × 75,866.32
  4. Step 4: Simplify right side
    136,297x = 14,269,680,955.54
  5. Step 5: Solve for x
    x = 14,269,680,955.54/136,297
  6. Step 6: Final answer
    x = 104,695.49

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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.