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Finding the Fourth Proportional to 145,292.36, 217,938.22 and 38,676.34

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Solution

The fourth proportional to 145,292.36, 217,938.22 and 38,676.34 is: 58,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,292.36 : 217,938.22 = 38,676.34 : x
  2. Step 2: Convert to fraction form
    145,292.36/217,938.22 = 38,676.34/x
  3. Step 3: Cross multiply
    145,292.36x = 217,938.22 × 38,676.34
  4. Step 4: Simplify right side
    145,292.36x = 8,429,052,695.71
  5. Step 5: Solve for x
    x = 8,429,052,695.71/145,292.36
  6. Step 6: Final answer
    x = 58,014.42

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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.