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Finding the Fourth Proportional to 149,716.74, 206,650.80 and 86,075.04

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Solution

The fourth proportional to 149,716.74, 206,650.80 and 86,075.04 is: 118,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,716.74 : 206,650.80 = 86,075.04 : x
  2. Step 2: Convert to fraction form
    149,716.74/206,650.80 = 86,075.04/x
  3. Step 3: Cross multiply
    149,716.74x = 206,650.80 × 86,075.04
  4. Step 4: Simplify right side
    149,716.74x = 17,787,475,876.03
  5. Step 5: Solve for x
    x = 17,787,475,876.03/149,716.74
  6. Step 6: Final answer
    x = 118,807.53

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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.