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Finding the Fourth Proportional to 91,448.48, 137,175.72 and 31,476.32

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Solution

The fourth proportional to 91,448.48, 137,175.72 and 31,476.32 is: 47,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,448.48 : 137,175.72 = 31,476.32 : x
  2. Step 2: Convert to fraction form
    91,448.48/137,175.72 = 31,476.32/x
  3. Step 3: Cross multiply
    91,448.48x = 137,175.72 × 31,476.32
  4. Step 4: Simplify right side
    91,448.48x = 4,317,786,858.95
  5. Step 5: Solve for x
    x = 4,317,786,858.95/91,448.48
  6. Step 6: Final answer
    x = 47,215.51

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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.