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Finding the Fourth Proportional to 138,308, 207,443.37 and 54,009.28

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Solution

The fourth proportional to 138,308, 207,443.37 and 54,009.28 is: 81,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,308 : 207,443.37 = 54,009.28 : x
  2. Step 2: Convert to fraction form
    138,308/207,443.37 = 54,009.28/x
  3. Step 3: Cross multiply
    138,308x = 207,443.37 × 54,009.28
  4. Step 4: Simplify right side
    138,308x = 11,203,866,017.26
  5. Step 5: Solve for x
    x = 11,203,866,017.26/138,308
  6. Step 6: Final answer
    x = 81,006.64

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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.