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Finding the Fourth Proportional to 57,416.98, 86,134.69 and 19,987.69

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Solution

The fourth proportional to 57,416.98, 86,134.69 and 19,987.69 is: 29,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,416.98 : 86,134.69 = 19,987.69 : x
  2. Step 2: Convert to fraction form
    57,416.98/86,134.69 = 19,987.69/x
  3. Step 3: Cross multiply
    57,416.98x = 86,134.69 × 19,987.69
  4. Step 4: Simplify right side
    57,416.98x = 1,721,633,210.86
  5. Step 5: Solve for x
    x = 1,721,633,210.86/57,416.98
  6. Step 6: Final answer
    x = 29,984.74

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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.