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Finding the Fourth Proportional to 78,225, 117,337.29 and 54,955.32

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Solution

The fourth proportional to 78,225, 117,337.29 and 54,955.32 is: 82,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,225 : 117,337.29 = 54,955.32 : x
  2. Step 2: Convert to fraction form
    78,225/117,337.29 = 54,955.32/x
  3. Step 3: Cross multiply
    78,225x = 117,337.29 × 54,955.32
  4. Step 4: Simplify right side
    78,225x = 6,448,308,319.88
  5. Step 5: Solve for x
    x = 6,448,308,319.88/78,225
  6. Step 6: Final answer
    x = 82,432.83

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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.