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Finding the Fourth Proportional to 45,703.12, 68,561.88 and 19,408

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Solution

The fourth proportional to 45,703.12, 68,561.88 and 19,408 is: 29,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,703.12 : 68,561.88 = 19,408 : x
  2. Step 2: Convert to fraction form
    45,703.12/68,561.88 = 19,408/x
  3. Step 3: Cross multiply
    45,703.12x = 68,561.88 × 19,408
  4. Step 4: Simplify right side
    45,703.12x = 1,330,648,967.04
  5. Step 5: Solve for x
    x = 1,330,648,967.04/45,703.12
  6. Step 6: Final answer
    x = 29,115.06

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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.