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Finding the Fourth Proportional to 387,361.51, 581,075.78 and 106,878.73

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Solution

The fourth proportional to 387,361.51, 581,075.78 and 106,878.73 is: 160,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,361.51 : 581,075.78 = 106,878.73 : x
  2. Step 2: Convert to fraction form
    387,361.51/581,075.78 = 106,878.73/x
  3. Step 3: Cross multiply
    387,361.51x = 581,075.78 × 106,878.73
  4. Step 4: Simplify right side
    387,361.51x = 62,104,640,865.77
  5. Step 5: Solve for x
    x = 62,104,640,865.77/387,361.51
  6. Step 6: Final answer
    x = 160,327.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.