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Finding the Fourth Proportional to 138,066, 190,532.21 and 77,636.12

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Solution

The fourth proportional to 138,066, 190,532.21 and 77,636.12 is: 107,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,066 : 190,532.21 = 77,636.12 : x
  2. Step 2: Convert to fraction form
    138,066/190,532.21 = 77,636.12/x
  3. Step 3: Cross multiply
    138,066x = 190,532.21 × 77,636.12
  4. Step 4: Simplify right side
    138,066x = 14,792,180,178.58
  5. Step 5: Solve for x
    x = 14,792,180,178.58/138,066
  6. Step 6: Final answer
    x = 107,138.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.