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Finding the Fourth Proportional to 139,542.76, 209,321.40 and 46,055.80

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Solution

The fourth proportional to 139,542.76, 209,321.40 and 46,055.80 is: 69,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,542.76 : 209,321.40 = 46,055.80 : x
  2. Step 2: Convert to fraction form
    139,542.76/209,321.40 = 46,055.80/x
  3. Step 3: Cross multiply
    139,542.76x = 209,321.40 × 46,055.80
  4. Step 4: Simplify right side
    139,542.76x = 9,640,464,534.12
  5. Step 5: Solve for x
    x = 9,640,464,534.12/139,542.76
  6. Step 6: Final answer
    x = 69,086.10

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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.