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Finding the Fourth Proportional to 75,885.48, 113,829.90 and 19,727.80

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Solution

The fourth proportional to 75,885.48, 113,829.90 and 19,727.80 is: 29,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,885.48 : 113,829.90 = 19,727.80 : x
  2. Step 2: Convert to fraction form
    75,885.48/113,829.90 = 19,727.80/x
  3. Step 3: Cross multiply
    75,885.48x = 113,829.90 × 19,727.80
  4. Step 4: Simplify right side
    75,885.48x = 2,245,613,501.22
  5. Step 5: Solve for x
    x = 2,245,613,501.22/75,885.48
  6. Step 6: Final answer
    x = 29,592.14

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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.