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Finding the Fourth Proportional to 214,572.77, 296,017.91 and 129,640.63

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Solution

The fourth proportional to 214,572.77, 296,017.91 and 129,640.63 is: 178,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,572.77 : 296,017.91 = 129,640.63 : x
  2. Step 2: Convert to fraction form
    214,572.77/296,017.91 = 129,640.63/x
  3. Step 3: Cross multiply
    214,572.77x = 296,017.91 × 129,640.63
  4. Step 4: Simplify right side
    214,572.77x = 38,375,947,187.70
  5. Step 5: Solve for x
    x = 38,375,947,187.70/214,572.77
  6. Step 6: Final answer
    x = 178,848.17

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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.