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Finding the Fourth Proportional to 30,506.78, 45,760.17 and 20,042.93

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Solution

The fourth proportional to 30,506.78, 45,760.17 and 20,042.93 is: 30,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.78 : 45,760.17 = 20,042.93 : x
  2. Step 2: Convert to fraction form
    30,506.78/45,760.17 = 20,042.93/x
  3. Step 3: Cross multiply
    30,506.78x = 45,760.17 × 20,042.93
  4. Step 4: Simplify right side
    30,506.78x = 917,167,655.30
  5. Step 5: Solve for x
    x = 917,167,655.30/30,506.78
  6. Step 6: Final answer
    x = 30,064.39

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1.5x scale

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.