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Finding the Fourth Proportional to 100,787.70, 139,084.64 and 55,464.42

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Solution

The fourth proportional to 100,787.70, 139,084.64 and 55,464.42 is: 76,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,787.70 : 139,084.64 = 55,464.42 : x
  2. Step 2: Convert to fraction form
    100,787.70/139,084.64 = 55,464.42/x
  3. Step 3: Cross multiply
    100,787.70x = 139,084.64 × 55,464.42
  4. Step 4: Simplify right side
    100,787.70x = 7,714,248,888.51
  5. Step 5: Solve for x
    x = 7,714,248,888.51/100,787.70
  6. Step 6: Final answer
    x = 76,539.59

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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.