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Finding the Fourth Proportional to 55,912.40, 83,868.60 and 31,029.20

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Solution

The fourth proportional to 55,912.40, 83,868.60 and 31,029.20 is: 46,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,912.40 : 83,868.60 = 31,029.20 : x
  2. Step 2: Convert to fraction form
    55,912.40/83,868.60 = 31,029.20/x
  3. Step 3: Cross multiply
    55,912.40x = 83,868.60 × 31,029.20
  4. Step 4: Simplify right side
    55,912.40x = 2,602,375,563.12
  5. Step 5: Solve for x
    x = 2,602,375,563.12/55,912.40
  6. Step 6: Final answer
    x = 46,543.80

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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.