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Finding the Fourth Proportional to 138,199.32, 206,289.63 and 118,603.80

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Solution

The fourth proportional to 138,199.32, 206,289.63 and 118,603.80 is: 177,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,199.32 : 206,289.63 = 118,603.80 : x
  2. Step 2: Convert to fraction form
    138,199.32/206,289.63 = 118,603.80/x
  3. Step 3: Cross multiply
    138,199.32x = 206,289.63 × 118,603.80
  4. Step 4: Simplify right side
    138,199.32x = 24,466,734,018.59
  5. Step 5: Solve for x
    x = 24,466,734,018.59/138,199.32
  6. Step 6: Final answer
    x = 177,039.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.