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Finding the Fourth Proportional to 145,864, 201,292.50 and 78,796

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Solution

The fourth proportional to 145,864, 201,292.50 and 78,796 is: 108,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,864 : 201,292.50 = 78,796 : x
  2. Step 2: Convert to fraction form
    145,864/201,292.50 = 78,796/x
  3. Step 3: Cross multiply
    145,864x = 201,292.50 × 78,796
  4. Step 4: Simplify right side
    145,864x = 15,861,043,830
  5. Step 5: Solve for x
    x = 15,861,043,830/145,864
  6. Step 6: Final answer
    x = 108,738.58

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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.