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Finding the Fourth Proportional to 78,054.54, 107,642.15 and 51,814.11

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Solution

The fourth proportional to 78,054.54, 107,642.15 and 51,814.11 is: 71,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,054.54 : 107,642.15 = 51,814.11 : x
  2. Step 2: Convert to fraction form
    78,054.54/107,642.15 = 51,814.11/x
  3. Step 3: Cross multiply
    78,054.54x = 107,642.15 × 51,814.11
  4. Step 4: Simplify right side
    78,054.54x = 5,577,382,539.63
  5. Step 5: Solve for x
    x = 5,577,382,539.63/78,054.54
  6. Step 6: Final answer
    x = 71,454.94

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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.