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Finding the Fourth Proportional to 55,840.80, 83,732.40 and 20,762.40

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Solution

The fourth proportional to 55,840.80, 83,732.40 and 20,762.40 is: 31,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,840.80 : 83,732.40 = 20,762.40 : x
  2. Step 2: Convert to fraction form
    55,840.80/83,732.40 = 20,762.40/x
  3. Step 3: Cross multiply
    55,840.80x = 83,732.40 × 20,762.40
  4. Step 4: Simplify right side
    55,840.80x = 1,738,485,581.76
  5. Step 5: Solve for x
    x = 1,738,485,581.76/55,840.80
  6. Step 6: Final answer
    x = 31,132.89

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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.