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Finding the Fourth Proportional to 81,471.84, 112,429.22 and 45,173.12

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Solution

The fourth proportional to 81,471.84, 112,429.22 and 45,173.12 is: 62,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,471.84 : 112,429.22 = 45,173.12 : x
  2. Step 2: Convert to fraction form
    81,471.84/112,429.22 = 45,173.12/x
  3. Step 3: Cross multiply
    81,471.84x = 112,429.22 × 45,173.12
  4. Step 4: Simplify right side
    81,471.84x = 5,078,778,646.57
  5. Step 5: Solve for x
    x = 5,078,778,646.57/81,471.84
  6. Step 6: Final answer
    x = 62,337.84

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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.