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Finding the Fourth Proportional to 72,505, 100,057.17 and 42,311.17

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Solution

The fourth proportional to 72,505, 100,057.17 and 42,311.17 is: 58,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,505 : 100,057.17 = 42,311.17 : x
  2. Step 2: Convert to fraction form
    72,505/100,057.17 = 42,311.17/x
  3. Step 3: Cross multiply
    72,505x = 100,057.17 × 42,311.17
  4. Step 4: Simplify right side
    72,505x = 4,233,535,929.59
  5. Step 5: Solve for x
    x = 4,233,535,929.59/72,505
  6. Step 6: Final answer
    x = 58,389.57

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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.