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Finding the Fourth Proportional to 115,398, 159,249.40 and 62,406

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Solution

The fourth proportional to 115,398, 159,249.40 and 62,406 is: 86,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,398 : 159,249.40 = 62,406 : x
  2. Step 2: Convert to fraction form
    115,398/159,249.40 = 62,406/x
  3. Step 3: Cross multiply
    115,398x = 159,249.40 × 62,406
  4. Step 4: Simplify right side
    115,398x = 9,938,118,056.40
  5. Step 5: Solve for x
    x = 9,938,118,056.40/115,398
  6. Step 6: Final answer
    x = 86,120.37

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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.