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Finding the Fourth Proportional to 78,055.54, 107,643.53 and 51,815.11

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Solution

The fourth proportional to 78,055.54, 107,643.53 and 51,815.11 is: 71,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,055.54 : 107,643.53 = 51,815.11 : x
  2. Step 2: Convert to fraction form
    78,055.54/107,643.53 = 51,815.11/x
  3. Step 3: Cross multiply
    78,055.54x = 107,643.53 × 51,815.11
  4. Step 4: Simplify right side
    78,055.54x = 5,577,561,347.74
  5. Step 5: Solve for x
    x = 5,577,561,347.74/78,055.54
  6. Step 6: Final answer
    x = 71,456.32

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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.