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Finding the Fourth Proportional to 77,892.49, 116,838.74 and 18,728.16

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Solution

The fourth proportional to 77,892.49, 116,838.74 and 18,728.16 is: 28,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,892.49 : 116,838.74 = 18,728.16 : x
  2. Step 2: Convert to fraction form
    77,892.49/116,838.74 = 18,728.16/x
  3. Step 3: Cross multiply
    77,892.49x = 116,838.74 × 18,728.16
  4. Step 4: Simplify right side
    77,892.49x = 2,188,174,523.28
  5. Step 5: Solve for x
    x = 2,188,174,523.28/77,892.49
  6. Step 6: Final answer
    x = 28,092.24

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1.5x scale

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.