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Finding the Fourth Proportional to 139,838.08, 209,940.08 and 83,015.74

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Solution

The fourth proportional to 139,838.08, 209,940.08 and 83,015.74 is: 124,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,838.08 : 209,940.08 = 83,015.74 : x
  2. Step 2: Convert to fraction form
    139,838.08/209,940.08 = 83,015.74/x
  3. Step 3: Cross multiply
    139,838.08x = 209,940.08 × 83,015.74
  4. Step 4: Simplify right side
    139,838.08x = 17,428,331,096.86
  5. Step 5: Solve for x
    x = 17,428,331,096.86/139,838.08
  6. Step 6: Final answer
    x = 124,632.23

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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.