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Finding the Fourth Proportional to 180,021.60, 270,097.92 and 105,206.76

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Solution

The fourth proportional to 180,021.60, 270,097.92 and 105,206.76 is: 157,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,021.60 : 270,097.92 = 105,206.76 : x
  2. Step 2: Convert to fraction form
    180,021.60/270,097.92 = 105,206.76/x
  3. Step 3: Cross multiply
    180,021.60x = 270,097.92 × 105,206.76
  4. Step 4: Simplify right side
    180,021.60x = 28,416,127,045.94
  5. Step 5: Solve for x
    x = 28,416,127,045.94/180,021.60
  6. Step 6: Final answer
    x = 157,848.43

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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.