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Finding the Fourth Proportional to 136,070.40, 204,076.44 and 42,564

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Solution

The fourth proportional to 136,070.40, 204,076.44 and 42,564 is: 63,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,070.40 : 204,076.44 = 42,564 : x
  2. Step 2: Convert to fraction form
    136,070.40/204,076.44 = 42,564/x
  3. Step 3: Cross multiply
    136,070.40x = 204,076.44 × 42,564
  4. Step 4: Simplify right side
    136,070.40x = 8,686,309,592.16
  5. Step 5: Solve for x
    x = 8,686,309,592.16/136,070.40
  6. Step 6: Final answer
    x = 63,836.88

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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.