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Finding the Fourth Proportional to 243,802, 336,447.57 and 136,365.13

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Solution

The fourth proportional to 243,802, 336,447.57 and 136,365.13 is: 188,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,802 : 336,447.57 = 136,365.13 : x
  2. Step 2: Convert to fraction form
    243,802/336,447.57 = 136,365.13/x
  3. Step 3: Cross multiply
    243,802x = 336,447.57 × 136,365.13
  4. Step 4: Simplify right side
    243,802x = 45,879,716,621.23
  5. Step 5: Solve for x
    x = 45,879,716,621.23/243,802
  6. Step 6: Final answer
    x = 188,184.33

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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.