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Finding the Fourth Proportional to 78,062.10, 107,696.88 and 51,219.51

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Solution

The fourth proportional to 78,062.10, 107,696.88 and 51,219.51 is: 70,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,062.10 : 107,696.88 = 51,219.51 : x
  2. Step 2: Convert to fraction form
    78,062.10/107,696.88 = 51,219.51/x
  3. Step 3: Cross multiply
    78,062.10x = 107,696.88 × 51,219.51
  4. Step 4: Simplify right side
    78,062.10x = 5,516,181,422.13
  5. Step 5: Solve for x
    x = 5,516,181,422.13/78,062.10
  6. Step 6: Final answer
    x = 70,664.02

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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.