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Finding the Fourth Proportional to 145,908.64, 201,353.68 and 78,840.48

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Solution

The fourth proportional to 145,908.64, 201,353.68 and 78,840.48 is: 108,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,908.64 : 201,353.68 = 78,840.48 : x
  2. Step 2: Convert to fraction form
    145,908.64/201,353.68 = 78,840.48/x
  3. Step 3: Cross multiply
    145,908.64x = 201,353.68 × 78,840.48
  4. Step 4: Simplify right side
    145,908.64x = 15,874,820,780.97
  5. Step 5: Solve for x
    x = 15,874,820,780.97/145,908.64
  6. Step 6: Final answer
    x = 108,799.73

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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.