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Finding the Fourth Proportional to 78,362.94, 108,158.09 and 51,507.95

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Solution

The fourth proportional to 78,362.94, 108,158.09 and 51,507.95 is: 71,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,362.94 : 108,158.09 = 51,507.95 : x
  2. Step 2: Convert to fraction form
    78,362.94/108,158.09 = 51,507.95/x
  3. Step 3: Cross multiply
    78,362.94x = 108,158.09 × 51,507.95
  4. Step 4: Simplify right side
    78,362.94x = 5,571,001,301.87
  5. Step 5: Solve for x
    x = 5,571,001,301.87/78,362.94
  6. Step 6: Final answer
    x = 71,092.29

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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.