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Finding the Fourth Proportional to 117,039.16, 161,593.20 and 76,821.28

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Solution

The fourth proportional to 117,039.16, 161,593.20 and 76,821.28 is: 106,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,039.16 : 161,593.20 = 76,821.28 : x
  2. Step 2: Convert to fraction form
    117,039.16/161,593.20 = 76,821.28/x
  3. Step 3: Cross multiply
    117,039.16x = 161,593.20 × 76,821.28
  4. Step 4: Simplify right side
    117,039.16x = 12,413,796,463.30
  5. Step 5: Solve for x
    x = 12,413,796,463.30/117,039.16
  6. Step 6: Final answer
    x = 106,065.32

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1.5x scale

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.