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Finding the Fourth Proportional to 52,488,945.40, 78,696,093.30 and 20,128,343.80

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Solution

The fourth proportional to 52,488,945.40, 78,696,093.30 and 20,128,343.80 is: 30,178,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,488,945.40 : 78,696,093.30 = 20,128,343.80 : x
  2. Step 2: Convert to fraction form
    52,488,945.40/78,696,093.30 = 20,128,343.80/x
  3. Step 3: Cross multiply
    52,488,945.40x = 78,696,093.30 × 20,128,343.80
  4. Step 4: Simplify right side
    52,488,945.40x = 1,584,022,021,659,276.50
  5. Step 5: Solve for x
    x = 1,584,022,021,659,276.50/52,488,945.40
  6. Step 6: Final answer
    x = 30,178,202.47

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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.