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Finding the Fourth Proportional to 387,361.76, 581,076.15 and 106,878.98

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Solution

The fourth proportional to 387,361.76, 581,076.15 and 106,878.98 is: 160,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,361.76 : 581,076.15 = 106,878.98 : x
  2. Step 2: Convert to fraction form
    387,361.76/581,076.15 = 106,878.98/x
  3. Step 3: Cross multiply
    387,361.76x = 581,076.15 × 106,878.98
  4. Step 4: Simplify right side
    387,361.76x = 62,104,826,214.33
  5. Step 5: Solve for x
    x = 62,104,826,214.33/387,361.76
  6. Step 6: Final answer
    x = 160,327.72

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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.