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Finding the Fourth Proportional to 78,146.93, 117,206.80 and 21,973.70

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Solution

The fourth proportional to 78,146.93, 117,206.80 and 21,973.70 is: 32,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,146.93 : 117,206.80 = 21,973.70 : x
  2. Step 2: Convert to fraction form
    78,146.93/117,206.80 = 21,973.70/x
  3. Step 3: Cross multiply
    78,146.93x = 117,206.80 × 21,973.70
  4. Step 4: Simplify right side
    78,146.93x = 2,575,467,299.24
  5. Step 5: Solve for x
    x = 2,575,467,299.24/78,146.93
  6. Step 6: Final answer
    x = 32,956.73

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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.