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Finding the Fourth Proportional to 75,019.56, 103,564.62 and 57,985.34

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Solution

The fourth proportional to 75,019.56, 103,564.62 and 57,985.34 is: 80,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,019.56 : 103,564.62 = 57,985.34 : x
  2. Step 2: Convert to fraction form
    75,019.56/103,564.62 = 57,985.34/x
  3. Step 3: Cross multiply
    75,019.56x = 103,564.62 × 57,985.34
  4. Step 4: Simplify right side
    75,019.56x = 6,005,229,184.85
  5. Step 5: Solve for x
    x = 6,005,229,184.85/75,019.56
  6. Step 6: Final answer
    x = 80,048.85

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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.