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Finding the Fourth Proportional to 306,613.80, 459,943.62 and 81,969.06

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Solution

The fourth proportional to 306,613.80, 459,943.62 and 81,969.06 is: 122,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,613.80 : 459,943.62 = 81,969.06 : x
  2. Step 2: Convert to fraction form
    306,613.80/459,943.62 = 81,969.06/x
  3. Step 3: Cross multiply
    306,613.80x = 459,943.62 × 81,969.06
  4. Step 4: Simplify right side
    306,613.80x = 37,701,146,184.40
  5. Step 5: Solve for x
    x = 37,701,146,184.40/306,613.80
  6. Step 6: Final answer
    x = 122,959.72

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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.