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Finding the Fourth Proportional to 115,400, 159,252.48 and 62,408

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Solution

The fourth proportional to 115,400, 159,252.48 and 62,408 is: 86,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,400 : 159,252.48 = 62,408 : x
  2. Step 2: Convert to fraction form
    115,400/159,252.48 = 62,408/x
  3. Step 3: Cross multiply
    115,400x = 159,252.48 × 62,408
  4. Step 4: Simplify right side
    115,400x = 9,938,628,771.84
  5. Step 5: Solve for x
    x = 9,938,628,771.84/115,400
  6. Step 6: Final answer
    x = 86,123.30

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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.