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Finding the Fourth Proportional to 71,256,019.20, 106,884,028.80 and 30,945,235.20

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Solution

The fourth proportional to 71,256,019.20, 106,884,028.80 and 30,945,235.20 is: 46,417,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,256,019.20 : 106,884,028.80 = 30,945,235.20 : x
  2. Step 2: Convert to fraction form
    71,256,019.20/106,884,028.80 = 30,945,235.20/x
  3. Step 3: Cross multiply
    71,256,019.20x = 106,884,028.80 × 30,945,235.20
  4. Step 4: Simplify right side
    71,256,019.20x = 3,307,551,410,339,573.50
  5. Step 5: Solve for x
    x = 3,307,551,410,339,573.50/71,256,019.20
  6. Step 6: Final answer
    x = 46,417,852.80

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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.