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Finding the Fourth Proportional to 75,278.98, 103,624.19 and 65,065.33

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Solution

The fourth proportional to 75,278.98, 103,624.19 and 65,065.33 is: 89,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,278.98 : 103,624.19 = 65,065.33 : x
  2. Step 2: Convert to fraction form
    75,278.98/103,624.19 = 65,065.33/x
  3. Step 3: Cross multiply
    75,278.98x = 103,624.19 × 65,065.33
  4. Step 4: Simplify right side
    75,278.98x = 6,742,341,274.89
  5. Step 5: Solve for x
    x = 6,742,341,274.89/75,278.98
  6. Step 6: Final answer
    x = 89,564.73

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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.