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Finding the Fourth Proportional to 78,426.60, 117,573.72 and 34,019.92

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Solution

The fourth proportional to 78,426.60, 117,573.72 and 34,019.92 is: 51,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,426.60 : 117,573.72 = 34,019.92 : x
  2. Step 2: Convert to fraction form
    78,426.60/117,573.72 = 34,019.92/x
  3. Step 3: Cross multiply
    78,426.60x = 117,573.72 × 34,019.92
  4. Step 4: Simplify right side
    78,426.60x = 3,999,848,548.50
  5. Step 5: Solve for x
    x = 3,999,848,548.50/78,426.60
  6. Step 6: Final answer
    x = 51,001.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.