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Finding the Fourth Proportional to 78,265.98, 107,972.63 and 52,763.03

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Solution

The fourth proportional to 78,265.98, 107,972.63 and 52,763.03 is: 72,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,265.98 : 107,972.63 = 52,763.03 : x
  2. Step 2: Convert to fraction form
    78,265.98/107,972.63 = 52,763.03/x
  3. Step 3: Cross multiply
    78,265.98x = 107,972.63 × 52,763.03
  4. Step 4: Simplify right side
    78,265.98x = 5,696,962,914.95
  5. Step 5: Solve for x
    x = 5,696,962,914.95/78,265.98
  6. Step 6: Final answer
    x = 72,789.77

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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.