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Finding the Fourth Proportional to 102,265.80, 153,208.54 and 55,557.96

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Solution

The fourth proportional to 102,265.80, 153,208.54 and 55,557.96 is: 83,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,265.80 : 153,208.54 = 55,557.96 : x
  2. Step 2: Convert to fraction form
    102,265.80/153,208.54 = 55,557.96/x
  3. Step 3: Cross multiply
    102,265.80x = 153,208.54 × 55,557.96
  4. Step 4: Simplify right side
    102,265.80x = 8,511,953,936.98
  5. Step 5: Solve for x
    x = 8,511,953,936.98/102,265.80
  6. Step 6: Final answer
    x = 83,233.63

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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.