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Finding the Fourth Proportional to 139,629.80, 209,444.70 and 83,642.60

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Solution

The fourth proportional to 139,629.80, 209,444.70 and 83,642.60 is: 125,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,629.80 : 209,444.70 = 83,642.60 : x
  2. Step 2: Convert to fraction form
    139,629.80/209,444.70 = 83,642.60/x
  3. Step 3: Cross multiply
    139,629.80x = 209,444.70 × 83,642.60
  4. Step 4: Simplify right side
    139,629.80x = 17,518,499,264.22
  5. Step 5: Solve for x
    x = 17,518,499,264.22/139,629.80
  6. Step 6: Final answer
    x = 125,463.90

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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.