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Finding the Fourth Proportional to 138,745.10, 208,106.94 and 38,900

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Solution

The fourth proportional to 138,745.10, 208,106.94 and 38,900 is: 58,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.10 : 208,106.94 = 38,900 : x
  2. Step 2: Convert to fraction form
    138,745.10/208,106.94 = 38,900/x
  3. Step 3: Cross multiply
    138,745.10x = 208,106.94 × 38,900
  4. Step 4: Simplify right side
    138,745.10x = 8,095,359,966
  5. Step 5: Solve for x
    x = 8,095,359,966/138,745.10
  6. Step 6: Final answer
    x = 58,347.00

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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.