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Finding the Fourth Proportional to 251,354.86, 346,831.02 and 149,342.56

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Solution

The fourth proportional to 251,354.86, 346,831.02 and 149,342.56 is: 206,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,354.86 : 346,831.02 = 149,342.56 : x
  2. Step 2: Convert to fraction form
    251,354.86/346,831.02 = 149,342.56/x
  3. Step 3: Cross multiply
    251,354.86x = 346,831.02 × 149,342.56
  4. Step 4: Simplify right side
    251,354.86x = 51,796,631,547.13
  5. Step 5: Solve for x
    x = 51,796,631,547.13/251,354.86
  6. Step 6: Final answer
    x = 206,069.75

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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.