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Finding the Fourth Proportional to 342,684.51, 514,081.85 and 117,989.70

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Solution

The fourth proportional to 342,684.51, 514,081.85 and 117,989.70 is: 177,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,684.51 : 514,081.85 = 117,989.70 : x
  2. Step 2: Convert to fraction form
    342,684.51/514,081.85 = 117,989.70/x
  3. Step 3: Cross multiply
    342,684.51x = 514,081.85 × 117,989.70
  4. Step 4: Simplify right side
    342,684.51x = 60,656,362,667.00
  5. Step 5: Solve for x
    x = 60,656,362,667.00/342,684.51
  6. Step 6: Final answer
    x = 177,003.51

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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.