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Finding the Fourth Proportional to 77,876.16, 116,824.04 and 30,485.16

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Solution

The fourth proportional to 77,876.16, 116,824.04 and 30,485.16 is: 45,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,876.16 : 116,824.04 = 30,485.16 : x
  2. Step 2: Convert to fraction form
    77,876.16/116,824.04 = 30,485.16/x
  3. Step 3: Cross multiply
    77,876.16x = 116,824.04 × 30,485.16
  4. Step 4: Simplify right side
    77,876.16x = 3,561,399,551.25
  5. Step 5: Solve for x
    x = 3,561,399,551.25/77,876.16
  6. Step 6: Final answer
    x = 45,731.58

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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.