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Finding the Fourth Proportional to 250,959.84, 346,320.27 and 137,781.78

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Solution

The fourth proportional to 250,959.84, 346,320.27 and 137,781.78 is: 190,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,959.84 : 346,320.27 = 137,781.78 : x
  2. Step 2: Convert to fraction form
    250,959.84/346,320.27 = 137,781.78/x
  3. Step 3: Cross multiply
    250,959.84x = 346,320.27 × 137,781.78
  4. Step 4: Simplify right side
    250,959.84x = 47,716,623,250.68
  5. Step 5: Solve for x
    x = 47,716,623,250.68/250,959.84
  6. Step 6: Final answer
    x = 190,136.49

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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.