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Finding the Fourth Proportional to 50,392, 75,584.76 and 20,802.16

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Solution

The fourth proportional to 50,392, 75,584.76 and 20,802.16 is: 31,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,392 : 75,584.76 = 20,802.16 : x
  2. Step 2: Convert to fraction form
    50,392/75,584.76 = 20,802.16/x
  3. Step 3: Cross multiply
    50,392x = 75,584.76 × 20,802.16
  4. Step 4: Simplify right side
    50,392x = 1,572,326,271.08
  5. Step 5: Solve for x
    x = 1,572,326,271.08/50,392
  6. Step 6: Final answer
    x = 31,201.90

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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.