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Finding the Fourth Proportional to 105,221, 145,204.11 and 57,474.38

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Solution

The fourth proportional to 105,221, 145,204.11 and 57,474.38 is: 79,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,221 : 145,204.11 = 57,474.38 : x
  2. Step 2: Convert to fraction form
    105,221/145,204.11 = 57,474.38/x
  3. Step 3: Cross multiply
    105,221x = 145,204.11 × 57,474.38
  4. Step 4: Simplify right side
    105,221x = 8,345,516,195.70
  5. Step 5: Solve for x
    x = 8,345,516,195.70/105,221
  6. Step 6: Final answer
    x = 79,314.17

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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.