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Finding the Fourth Proportional to 145,902.75, 201,345.84 and 78,834.75

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Solution

The fourth proportional to 145,902.75, 201,345.84 and 78,834.75 is: 108,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,902.75 : 201,345.84 = 78,834.75 : x
  2. Step 2: Convert to fraction form
    145,902.75/201,345.84 = 78,834.75/x
  3. Step 3: Cross multiply
    145,902.75x = 201,345.84 × 78,834.75
  4. Step 4: Simplify right side
    145,902.75x = 15,873,048,959.94
  5. Step 5: Solve for x
    x = 15,873,048,959.94/145,902.75
  6. Step 6: Final answer
    x = 108,791.98

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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.