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Finding the Fourth Proportional to 102,659.61, 153,936.83 and 54,655.49

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Solution

The fourth proportional to 102,659.61, 153,936.83 and 54,655.49 is: 81,955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,659.61 : 153,936.83 = 54,655.49 : x
  2. Step 2: Convert to fraction form
    102,659.61/153,936.83 = 54,655.49/x
  3. Step 3: Cross multiply
    102,659.61x = 153,936.83 × 54,655.49
  4. Step 4: Simplify right side
    102,659.61x = 8,413,493,394.18
  5. Step 5: Solve for x
    x = 8,413,493,394.18/102,659.61
  6. Step 6: Final answer
    x = 81,955.24

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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.