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Finding the Fourth Proportional to 115,766.55, 159,710.49 and 75,465.54

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Solution

The fourth proportional to 115,766.55, 159,710.49 and 75,465.54 is: 104,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,766.55 : 159,710.49 = 75,465.54 : x
  2. Step 2: Convert to fraction form
    115,766.55/159,710.49 = 75,465.54/x
  3. Step 3: Cross multiply
    115,766.55x = 159,710.49 × 75,465.54
  4. Step 4: Simplify right side
    115,766.55x = 12,052,638,371.51
  5. Step 5: Solve for x
    x = 12,052,638,371.51/115,766.55
  6. Step 6: Final answer
    x = 104,111.58

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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.