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Finding the Fourth Proportional to 55,902.40, 83,837.40 and 20,359.60

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Solution

The fourth proportional to 55,902.40, 83,837.40 and 20,359.60 is: 30,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,902.40 : 83,837.40 = 20,359.60 : x
  2. Step 2: Convert to fraction form
    55,902.40/83,837.40 = 20,359.60/x
  3. Step 3: Cross multiply
    55,902.40x = 83,837.40 × 20,359.60
  4. Step 4: Simplify right side
    55,902.40x = 1,706,895,929.04
  5. Step 5: Solve for x
    x = 1,706,895,929.04/55,902.40
  6. Step 6: Final answer
    x = 30,533.50

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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.