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Finding the Fourth Proportional to 72,807.84, 109,214.16 and 20,217.84

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Solution

The fourth proportional to 72,807.84, 109,214.16 and 20,217.84 is: 30,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.84 : 109,214.16 = 20,217.84 : x
  2. Step 2: Convert to fraction form
    72,807.84/109,214.16 = 20,217.84/x
  3. Step 3: Cross multiply
    72,807.84x = 109,214.16 × 20,217.84
  4. Step 4: Simplify right side
    72,807.84x = 2,208,074,412.61
  5. Step 5: Solve for x
    x = 2,208,074,412.61/72,807.84
  6. Step 6: Final answer
    x = 30,327.43

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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.