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Finding the Fourth Proportional to 139,787.64, 209,681.96 and 55,542.33

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Solution

The fourth proportional to 139,787.64, 209,681.96 and 55,542.33 is: 83,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,787.64 : 209,681.96 = 55,542.33 : x
  2. Step 2: Convert to fraction form
    139,787.64/209,681.96 = 55,542.33/x
  3. Step 3: Cross multiply
    139,787.64x = 209,681.96 × 55,542.33
  4. Step 4: Simplify right side
    139,787.64x = 11,646,224,339.66
  5. Step 5: Solve for x
    x = 11,646,224,339.66/139,787.64
  6. Step 6: Final answer
    x = 83,313.69

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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.