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Finding the Fourth Proportional to 138,300, 207,403.74 and 54,038.31

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Solution

The fourth proportional to 138,300, 207,403.74 and 54,038.31 is: 81,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,300 : 207,403.74 = 54,038.31 : x
  2. Step 2: Convert to fraction form
    138,300/207,403.74 = 54,038.31/x
  3. Step 3: Cross multiply
    138,300x = 207,403.74 × 54,038.31
  4. Step 4: Simplify right side
    138,300x = 11,207,747,597.28
  5. Step 5: Solve for x
    x = 11,207,747,597.28/138,300
  6. Step 6: Final answer
    x = 81,039.39

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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.