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Finding the Fourth Proportional to 85,908.28, 128,810.62 and 38,514.80

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Solution

The fourth proportional to 85,908.28, 128,810.62 and 38,514.80 is: 57,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,908.28 : 128,810.62 = 38,514.80 : x
  2. Step 2: Convert to fraction form
    85,908.28/128,810.62 = 38,514.80/x
  3. Step 3: Cross multiply
    85,908.28x = 128,810.62 × 38,514.80
  4. Step 4: Simplify right side
    85,908.28x = 4,961,115,267.18
  5. Step 5: Solve for x
    x = 4,961,115,267.18/85,908.28
  6. Step 6: Final answer
    x = 57,748.98

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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.