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Finding the Fourth Proportional to 66,711.60, 100,038.24 and 19,955.52

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Solution

The fourth proportional to 66,711.60, 100,038.24 and 19,955.52 is: 29,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,711.60 : 100,038.24 = 19,955.52 : x
  2. Step 2: Convert to fraction form
    66,711.60/100,038.24 = 19,955.52/x
  3. Step 3: Cross multiply
    66,711.60x = 100,038.24 × 19,955.52
  4. Step 4: Simplify right side
    66,711.60x = 1,996,315,099.08
  5. Step 5: Solve for x
    x = 1,996,315,099.08/66,711.60
  6. Step 6: Final answer
    x = 29,924.56

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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.