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Finding the Fourth Proportional to 105,647.98, 145,793.93 and 57,251.25

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Solution

The fourth proportional to 105,647.98, 145,793.93 and 57,251.25 is: 79,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,647.98 : 145,793.93 = 57,251.25 : x
  2. Step 2: Convert to fraction form
    105,647.98/145,793.93 = 57,251.25/x
  3. Step 3: Cross multiply
    105,647.98x = 145,793.93 × 57,251.25
  4. Step 4: Simplify right side
    105,647.98x = 8,346,884,227.30
  5. Step 5: Solve for x
    x = 8,346,884,227.30/105,647.98
  6. Step 6: Final answer
    x = 79,006.57

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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.