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Finding the Fourth Proportional to 66,582.72, 91,864.80 and 38,278.08

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Solution

The fourth proportional to 66,582.72, 91,864.80 and 38,278.08 is: 52,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,582.72 : 91,864.80 = 38,278.08 : x
  2. Step 2: Convert to fraction form
    66,582.72/91,864.80 = 38,278.08/x
  3. Step 3: Cross multiply
    66,582.72x = 91,864.80 × 38,278.08
  4. Step 4: Simplify right side
    66,582.72x = 3,516,408,163.58
  5. Step 5: Solve for x
    x = 3,516,408,163.58/66,582.72
  6. Step 6: Final answer
    x = 52,812.62

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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.