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Finding the Fourth Proportional to 72,854.83, 109,282.43 and 20,264.32

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Solution

The fourth proportional to 72,854.83, 109,282.43 and 20,264.32 is: 30,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,854.83 : 109,282.43 = 20,264.32 : x
  2. Step 2: Convert to fraction form
    72,854.83/109,282.43 = 20,264.32/x
  3. Step 3: Cross multiply
    72,854.83x = 109,282.43 × 20,264.32
  4. Step 4: Simplify right side
    72,854.83x = 2,214,534,131.90
  5. Step 5: Solve for x
    x = 2,214,534,131.90/72,854.83
  6. Step 6: Final answer
    x = 30,396.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.