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Finding the Fourth Proportional to 215,199.84, 296,865.12 and 125,724

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Solution

The fourth proportional to 215,199.84, 296,865.12 and 125,724 is: 173,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,199.84 : 296,865.12 = 125,724 : x
  2. Step 2: Convert to fraction form
    215,199.84/296,865.12 = 125,724/x
  3. Step 3: Cross multiply
    215,199.84x = 296,865.12 × 125,724
  4. Step 4: Simplify right side
    215,199.84x = 37,323,070,346.88
  5. Step 5: Solve for x
    x = 37,323,070,346.88/215,199.84
  6. Step 6: Final answer
    x = 173,434.47

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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.