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Finding the Fourth Proportional to 65,254,858.14, 97,669,379.97 and 47,978,478.30

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Solution

The fourth proportional to 65,254,858.14, 97,669,379.97 and 47,978,478.30 is: 71,811,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,254,858.14 : 97,669,379.97 = 47,978,478.30 : x
  2. Step 2: Convert to fraction form
    65,254,858.14/97,669,379.97 = 47,978,478.30/x
  3. Step 3: Cross multiply
    65,254,858.14x = 97,669,379.97 × 47,978,478.30
  4. Step 4: Simplify right side
    65,254,858.14x = 4,686,028,227,465,099
  5. Step 5: Solve for x
    x = 4,686,028,227,465,099/65,254,858.14
  6. Step 6: Final answer
    x = 71,811,177.91

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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.