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Finding the Fourth Proportional to 30,788.70, 42,486.06 and 20,159.88

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Solution

The fourth proportional to 30,788.70, 42,486.06 and 20,159.88 is: 27,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.70 : 42,486.06 = 20,159.88 : x
  2. Step 2: Convert to fraction form
    30,788.70/42,486.06 = 20,159.88/x
  3. Step 3: Cross multiply
    30,788.70x = 42,486.06 × 20,159.88
  4. Step 4: Simplify right side
    30,788.70x = 856,513,871.27
  5. Step 5: Solve for x
    x = 856,513,871.27/30,788.70
  6. Step 6: Final answer
    x = 27,819.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.