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Finding the Fourth Proportional to 104,120.66, 143,686.32 and 56,374

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Solution

The fourth proportional to 104,120.66, 143,686.32 and 56,374 is: 77,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,120.66 : 143,686.32 = 56,374 : x
  2. Step 2: Convert to fraction form
    104,120.66/143,686.32 = 56,374/x
  3. Step 3: Cross multiply
    104,120.66x = 143,686.32 × 56,374
  4. Step 4: Simplify right side
    104,120.66x = 8,100,172,603.68
  5. Step 5: Solve for x
    x = 8,100,172,603.68/104,120.66
  6. Step 6: Final answer
    x = 77,796.02

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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.