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Finding the Fourth Proportional to 253,999.90, 380,733.14 and 85,461.72

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Solution

The fourth proportional to 253,999.90, 380,733.14 and 85,461.72 is: 128,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,999.90 : 380,733.14 = 85,461.72 : x
  2. Step 2: Convert to fraction form
    253,999.90/380,733.14 = 85,461.72/x
  3. Step 3: Cross multiply
    253,999.90x = 380,733.14 × 85,461.72
  4. Step 4: Simplify right side
    253,999.90x = 32,538,107,470.82
  5. Step 5: Solve for x
    x = 32,538,107,470.82/253,999.90
  6. Step 6: Final answer
    x = 128,102.83

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1.5x scale

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.