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Finding the Fourth Proportional to 145,908.43, 201,353.63 and 78,840.43

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Solution

The fourth proportional to 145,908.43, 201,353.63 and 78,840.43 is: 108,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,908.43 : 201,353.63 = 78,840.43 : x
  2. Step 2: Convert to fraction form
    145,908.43/201,353.63 = 78,840.43/x
  3. Step 3: Cross multiply
    145,908.43x = 201,353.63 × 78,840.43
  4. Step 4: Simplify right side
    145,908.43x = 15,874,806,377.06
  5. Step 5: Solve for x
    x = 15,874,806,377.06/145,908.43
  6. Step 6: Final answer
    x = 108,799.79

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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.