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Finding the Fourth Proportional to 136,883.47, 188,903.00 and 75,633.61

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Solution

The fourth proportional to 136,883.47, 188,903.00 and 75,633.61 is: 104,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,883.47 : 188,903.00 = 75,633.61 : x
  2. Step 2: Convert to fraction form
    136,883.47/188,903.00 = 75,633.61/x
  3. Step 3: Cross multiply
    136,883.47x = 188,903.00 × 75,633.61
  4. Step 4: Simplify right side
    136,883.47x = 14,287,415,829.94
  5. Step 5: Solve for x
    x = 14,287,415,829.94/136,883.47
  6. Step 6: Final answer
    x = 104,376.49

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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.