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Finding the Fourth Proportional to 102,814.60, 154,221.90 and 27,946.30

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Solution

The fourth proportional to 102,814.60, 154,221.90 and 27,946.30 is: 41,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814.60 : 154,221.90 = 27,946.30 : x
  2. Step 2: Convert to fraction form
    102,814.60/154,221.90 = 27,946.30/x
  3. Step 3: Cross multiply
    102,814.60x = 154,221.90 × 27,946.30
  4. Step 4: Simplify right side
    102,814.60x = 4,309,931,483.97
  5. Step 5: Solve for x
    x = 4,309,931,483.97/102,814.60
  6. Step 6: Final answer
    x = 41,919.45

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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.