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Finding the Fourth Proportional to 122,378.68, 168,941.90 and 82,077.72

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Solution

The fourth proportional to 122,378.68, 168,941.90 and 82,077.72 is: 113,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,378.68 : 168,941.90 = 82,077.72 : x
  2. Step 2: Convert to fraction form
    122,378.68/168,941.90 = 82,077.72/x
  3. Step 3: Cross multiply
    122,378.68x = 168,941.90 × 82,077.72
  4. Step 4: Simplify right side
    122,378.68x = 13,866,365,964.47
  5. Step 5: Solve for x
    x = 13,866,365,964.47/122,378.68
  6. Step 6: Final answer
    x = 113,307.04

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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.