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Finding the Fourth Proportional to 65,151.60, 97,858.44 and 38,907.60

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Solution

The fourth proportional to 65,151.60, 97,858.44 and 38,907.60 is: 58,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,151.60 : 97,858.44 = 38,907.60 : x
  2. Step 2: Convert to fraction form
    65,151.60/97,858.44 = 38,907.60/x
  3. Step 3: Cross multiply
    65,151.60x = 97,858.44 × 38,907.60
  4. Step 4: Simplify right side
    65,151.60x = 3,807,437,040.14
  5. Step 5: Solve for x
    x = 3,807,437,040.14/65,151.60
  6. Step 6: Final answer
    x = 58,439.66

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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.