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Finding the Fourth Proportional to 250,945.84, 346,300.95 and 137,767.78

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Solution

The fourth proportional to 250,945.84, 346,300.95 and 137,767.78 is: 190,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,945.84 : 346,300.95 = 137,767.78 : x
  2. Step 2: Convert to fraction form
    250,945.84/346,300.95 = 137,767.78/x
  3. Step 3: Cross multiply
    250,945.84x = 346,300.95 × 137,767.78
  4. Step 4: Simplify right side
    250,945.84x = 47,709,113,093.39
  5. Step 5: Solve for x
    x = 47,709,113,093.39/250,945.84
  6. Step 6: Final answer
    x = 190,117.17

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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.