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Finding the Fourth Proportional to 76,414.64, 114,602.52 and 29,642

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Solution

The fourth proportional to 76,414.64, 114,602.52 and 29,642 is: 44,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,414.64 : 114,602.52 = 29,642 : x
  2. Step 2: Convert to fraction form
    76,414.64/114,602.52 = 29,642/x
  3. Step 3: Cross multiply
    76,414.64x = 114,602.52 × 29,642
  4. Step 4: Simplify right side
    76,414.64x = 3,397,047,897.84
  5. Step 5: Solve for x
    x = 3,397,047,897.84/76,414.64
  6. Step 6: Final answer
    x = 44,455.46

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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.