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Finding the Fourth Proportional to 65,821.86, 90,820.74 and 38,950.92

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Solution

The fourth proportional to 65,821.86, 90,820.74 and 38,950.92 is: 53,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821.86 : 90,820.74 = 38,950.92 : x
  2. Step 2: Convert to fraction form
    65,821.86/90,820.74 = 38,950.92/x
  3. Step 3: Cross multiply
    65,821.86x = 90,820.74 × 38,950.92
  4. Step 4: Simplify right side
    65,821.86x = 3,537,551,378.08
  5. Step 5: Solve for x
    x = 3,537,551,378.08/65,821.86
  6. Step 6: Final answer
    x = 53,744.32

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1.5x scale

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.