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Finding the Fourth Proportional to 78,078.47, 107,721.63 and 50,842.08

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Solution

The fourth proportional to 78,078.47, 107,721.63 and 50,842.08 is: 70,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078.47 : 107,721.63 = 50,842.08 : x
  2. Step 2: Convert to fraction form
    78,078.47/107,721.63 = 50,842.08/x
  3. Step 3: Cross multiply
    78,078.47x = 107,721.63 × 50,842.08
  4. Step 4: Simplify right side
    78,078.47x = 5,476,791,730.19
  5. Step 5: Solve for x
    x = 5,476,791,730.19/78,078.47
  6. Step 6: Final answer
    x = 70,144.72

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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.