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Finding the Fourth Proportional to 82,814.72, 123,988.80 and 74,416.64

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Solution

The fourth proportional to 82,814.72, 123,988.80 and 74,416.64 is: 111,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,814.72 : 123,988.80 = 74,416.64 : x
  2. Step 2: Convert to fraction form
    82,814.72/123,988.80 = 74,416.64/x
  3. Step 3: Cross multiply
    82,814.72x = 123,988.80 × 74,416.64
  4. Step 4: Simplify right side
    82,814.72x = 9,226,829,893.63
  5. Step 5: Solve for x
    x = 9,226,829,893.63/82,814.72
  6. Step 6: Final answer
    x = 111,415.34

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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.