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Finding the Fourth Proportional to 55,452.70, 83,177.80 and 37,638.90

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Solution

The fourth proportional to 55,452.70, 83,177.80 and 37,638.90 is: 56,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,452.70 : 83,177.80 = 37,638.90 : x
  2. Step 2: Convert to fraction form
    55,452.70/83,177.80 = 37,638.90/x
  3. Step 3: Cross multiply
    55,452.70x = 83,177.80 × 37,638.90
  4. Step 4: Simplify right side
    55,452.70x = 3,130,720,896.42
  5. Step 5: Solve for x
    x = 3,130,720,896.42/55,452.70
  6. Step 6: Final answer
    x = 56,457.50

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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.