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Finding the Fourth Proportional to 254,861.60, 382,195.20 and 77,309.60

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Solution

The fourth proportional to 254,861.60, 382,195.20 and 77,309.60 is: 115,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,861.60 : 382,195.20 = 77,309.60 : x
  2. Step 2: Convert to fraction form
    254,861.60/382,195.20 = 77,309.60/x
  3. Step 3: Cross multiply
    254,861.60x = 382,195.20 × 77,309.60
  4. Step 4: Simplify right side
    254,861.60x = 29,547,358,033.92
  5. Step 5: Solve for x
    x = 29,547,358,033.92/254,861.60
  6. Step 6: Final answer
    x = 115,934.92

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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.