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Finding the Fourth Proportional to 66,315, 91,514.73 and 36,507

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Solution

The fourth proportional to 66,315, 91,514.73 and 36,507 is: 50,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,315 : 91,514.73 = 36,507 : x
  2. Step 2: Convert to fraction form
    66,315/91,514.73 = 36,507/x
  3. Step 3: Cross multiply
    66,315x = 91,514.73 × 36,507
  4. Step 4: Simplify right side
    66,315x = 3,340,928,248.11
  5. Step 5: Solve for x
    x = 3,340,928,248.11/66,315
  6. Step 6: Final answer
    x = 50,379.68

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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.