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Finding the Fourth Proportional to 120,391.81, 180,661.52 and 53,888.17

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Solution

The fourth proportional to 120,391.81, 180,661.52 and 53,888.17 is: 80,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,391.81 : 180,661.52 = 53,888.17 : x
  2. Step 2: Convert to fraction form
    120,391.81/180,661.52 = 53,888.17/x
  3. Step 3: Cross multiply
    120,391.81x = 180,661.52 × 53,888.17
  4. Step 4: Simplify right side
    120,391.81x = 9,735,518,702.22
  5. Step 5: Solve for x
    x = 9,735,518,702.22/120,391.81
  6. Step 6: Final answer
    x = 80,865.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.