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Finding the Fourth Proportional to 73,151, 100,948.40 and 39,617

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Solution

The fourth proportional to 73,151, 100,948.40 and 39,617 is: 54,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,151 : 100,948.40 = 39,617 : x
  2. Step 2: Convert to fraction form
    73,151/100,948.40 = 39,617/x
  3. Step 3: Cross multiply
    73,151x = 100,948.40 × 39,617
  4. Step 4: Simplify right side
    73,151x = 3,999,272,762.80
  5. Step 5: Solve for x
    x = 3,999,272,762.80/73,151
  6. Step 6: Final answer
    x = 54,671.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.