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Finding the Fourth Proportional to 30,242.77, 45,387.74 and 20,948.02

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Solution

The fourth proportional to 30,242.77, 45,387.74 and 20,948.02 is: 31,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.77 : 45,387.74 = 20,948.02 : x
  2. Step 2: Convert to fraction form
    30,242.77/45,387.74 = 20,948.02/x
  3. Step 3: Cross multiply
    30,242.77x = 45,387.74 × 20,948.02
  4. Step 4: Simplify right side
    30,242.77x = 950,783,224.18
  5. Step 5: Solve for x
    x = 950,783,224.18/30,242.77
  6. Step 6: Final answer
    x = 31,438.37

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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.