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Finding the Fourth Proportional to 30,106.88, 45,160.31 and 8,218.88

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Solution

The fourth proportional to 30,106.88, 45,160.31 and 8,218.88 is: 12,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.88 : 45,160.31 = 8,218.88 : x
  2. Step 2: Convert to fraction form
    30,106.88/45,160.31 = 8,218.88/x
  3. Step 3: Cross multiply
    30,106.88x = 45,160.31 × 8,218.88
  4. Step 4: Simplify right side
    30,106.88x = 371,166,963.40
  5. Step 5: Solve for x
    x = 371,166,963.40/30,106.88
  6. Step 6: Final answer
    x = 12,328.31

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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.