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Finding the Fourth Proportional to 138,852, 208,287.72 and 55,746

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Solution

The fourth proportional to 138,852, 208,287.72 and 55,746 is: 83,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852 : 208,287.72 = 55,746 : x
  2. Step 2: Convert to fraction form
    138,852/208,287.72 = 55,746/x
  3. Step 3: Cross multiply
    138,852x = 208,287.72 × 55,746
  4. Step 4: Simplify right side
    138,852x = 11,611,207,239.12
  5. Step 5: Solve for x
    x = 11,611,207,239.12/138,852
  6. Step 6: Final answer
    x = 83,622.90

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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.