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Finding the Fourth Proportional to 85,588, 128,350.51 and 29,412.16

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Solution

The fourth proportional to 85,588, 128,350.51 and 29,412.16 is: 44,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,588 : 128,350.51 = 29,412.16 : x
  2. Step 2: Convert to fraction form
    85,588/128,350.51 = 29,412.16/x
  3. Step 3: Cross multiply
    85,588x = 128,350.51 × 29,412.16
  4. Step 4: Simplify right side
    85,588x = 3,775,065,736.20
  5. Step 5: Solve for x
    x = 3,775,065,736.20/85,588
  6. Step 6: Final answer
    x = 44,107.42

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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.