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Finding the Fourth Proportional to 78,165, 107,956.80 and 52,970.76

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Solution

The fourth proportional to 78,165, 107,956.80 and 52,970.76 is: 73,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165 : 107,956.80 = 52,970.76 : x
  2. Step 2: Convert to fraction form
    78,165/107,956.80 = 52,970.76/x
  3. Step 3: Cross multiply
    78,165x = 107,956.80 × 52,970.76
  4. Step 4: Simplify right side
    78,165x = 5,718,553,743.17
  5. Step 5: Solve for x
    x = 5,718,553,743.17/78,165
  6. Step 6: Final answer
    x = 73,160.03

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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.