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Finding the Fourth Proportional to 78,133.28, 117,134.10 and 63,305.42

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Solution

The fourth proportional to 78,133.28, 117,134.10 and 63,305.42 is: 94,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,133.28 : 117,134.10 = 63,305.42 : x
  2. Step 2: Convert to fraction form
    78,133.28/117,134.10 = 63,305.42/x
  3. Step 3: Cross multiply
    78,133.28x = 117,134.10 × 63,305.42
  4. Step 4: Simplify right side
    78,133.28x = 7,415,223,396.82
  5. Step 5: Solve for x
    x = 7,415,223,396.82/78,133.28
  6. Step 6: Final answer
    x = 94,904.80

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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.