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Finding the Fourth Proportional to 243,814.56, 336,492 and 136,411.80

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Solution

The fourth proportional to 243,814.56, 336,492 and 136,411.80 is: 188,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,814.56 : 336,492 = 136,411.80 : x
  2. Step 2: Convert to fraction form
    243,814.56/336,492 = 136,411.80/x
  3. Step 3: Cross multiply
    243,814.56x = 336,492 × 136,411.80
  4. Step 4: Simplify right side
    243,814.56x = 45,901,479,405.60
  5. Step 5: Solve for x
    x = 45,901,479,405.60/243,814.56
  6. Step 6: Final answer
    x = 188,263.90

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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.