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Finding the Fourth Proportional to 100,705.08, 138,970.02 and 55,383

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Solution

The fourth proportional to 100,705.08, 138,970.02 and 55,383 is: 76,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705.08 : 138,970.02 = 55,383 : x
  2. Step 2: Convert to fraction form
    100,705.08/138,970.02 = 55,383/x
  3. Step 3: Cross multiply
    100,705.08x = 138,970.02 × 55,383
  4. Step 4: Simplify right side
    100,705.08x = 7,696,576,617.66
  5. Step 5: Solve for x
    x = 7,696,576,617.66/100,705.08
  6. Step 6: Final answer
    x = 76,426.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.