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Finding the Fourth Proportional to 78,132.60, 107,796.24 and 50,896.08

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Solution

The fourth proportional to 78,132.60, 107,796.24 and 50,896.08 is: 70,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,132.60 : 107,796.24 = 50,896.08 : x
  2. Step 2: Convert to fraction form
    78,132.60/107,796.24 = 50,896.08/x
  3. Step 3: Cross multiply
    78,132.60x = 107,796.24 × 50,896.08
  4. Step 4: Simplify right side
    78,132.60x = 5,486,406,054.74
  5. Step 5: Solve for x
    x = 5,486,406,054.74/78,132.60
  6. Step 6: Final answer
    x = 70,219.17

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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.