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Finding the Fourth Proportional to 134,388.64, 201,760.08 and 78,280.48

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Solution

The fourth proportional to 134,388.64, 201,760.08 and 78,280.48 is: 117,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,388.64 : 201,760.08 = 78,280.48 : x
  2. Step 2: Convert to fraction form
    134,388.64/201,760.08 = 78,280.48/x
  3. Step 3: Cross multiply
    134,388.64x = 201,760.08 × 78,280.48
  4. Step 4: Simplify right side
    134,388.64x = 15,793,875,907.24
  5. Step 5: Solve for x
    x = 15,793,875,907.24/134,388.64
  6. Step 6: Final answer
    x = 117,523.89

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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.