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Finding the Fourth Proportional to 136,870.50, 188,881.38 and 77,254.50

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Solution

The fourth proportional to 136,870.50, 188,881.38 and 77,254.50 is: 106,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,870.50 : 188,881.38 = 77,254.50 : x
  2. Step 2: Convert to fraction form
    136,870.50/188,881.38 = 77,254.50/x
  3. Step 3: Cross multiply
    136,870.50x = 188,881.38 × 77,254.50
  4. Step 4: Simplify right side
    136,870.50x = 14,591,936,571.21
  5. Step 5: Solve for x
    x = 14,591,936,571.21/136,870.50
  6. Step 6: Final answer
    x = 106,611.26

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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.