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Finding the Fourth Proportional to 137,003, 205,504.50 and 38,507

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Solution

The fourth proportional to 137,003, 205,504.50 and 38,507 is: 57,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,003 : 205,504.50 = 38,507 : x
  2. Step 2: Convert to fraction form
    137,003/205,504.50 = 38,507/x
  3. Step 3: Cross multiply
    137,003x = 205,504.50 × 38,507
  4. Step 4: Simplify right side
    137,003x = 7,913,361,781.50
  5. Step 5: Solve for x
    x = 7,913,361,781.50/137,003
  6. Step 6: Final answer
    x = 57,760.50

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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.