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Finding the Fourth Proportional to 91,643, 137,464.50 and 29,318.36

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Solution

The fourth proportional to 91,643, 137,464.50 and 29,318.36 is: 43,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,643 : 137,464.50 = 29,318.36 : x
  2. Step 2: Convert to fraction form
    91,643/137,464.50 = 29,318.36/x
  3. Step 3: Cross multiply
    91,643x = 137,464.50 × 29,318.36
  4. Step 4: Simplify right side
    91,643x = 4,030,233,698.22
  5. Step 5: Solve for x
    x = 4,030,233,698.22/91,643
  6. Step 6: Final answer
    x = 43,977.54

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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.