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Finding the Fourth Proportional to 57,012.99, 78,673.93 and 32,812.47

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Solution

The fourth proportional to 57,012.99, 78,673.93 and 32,812.47 is: 45,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,012.99 : 78,673.93 = 32,812.47 : x
  2. Step 2: Convert to fraction form
    57,012.99/78,673.93 = 32,812.47/x
  3. Step 3: Cross multiply
    57,012.99x = 78,673.93 × 32,812.47
  4. Step 4: Simplify right side
    57,012.99x = 2,581,485,967.91
  5. Step 5: Solve for x
    x = 2,581,485,967.91/57,012.99
  6. Step 6: Final answer
    x = 45,278.91

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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.