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Finding the Fourth Proportional to 207,408, 286,238.79 and 125,760

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Solution

The fourth proportional to 207,408, 286,238.79 and 125,760 is: 173,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,408 : 286,238.79 = 125,760 : x
  2. Step 2: Convert to fraction form
    207,408/286,238.79 = 125,760/x
  3. Step 3: Cross multiply
    207,408x = 286,238.79 × 125,760
  4. Step 4: Simplify right side
    207,408x = 35,997,390,230.40
  5. Step 5: Solve for x
    x = 35,997,390,230.40/207,408
  6. Step 6: Final answer
    x = 173,558.35

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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.