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Finding the Fourth Proportional to 78,117.91, 117,182.34 and 31,370.78

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Solution

The fourth proportional to 78,117.91, 117,182.34 and 31,370.78 is: 47,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.91 : 117,182.34 = 31,370.78 : x
  2. Step 2: Convert to fraction form
    78,117.91/117,182.34 = 31,370.78/x
  3. Step 3: Cross multiply
    78,117.91x = 117,182.34 × 31,370.78
  4. Step 4: Simplify right side
    78,117.91x = 3,676,101,408.03
  5. Step 5: Solve for x
    x = 3,676,101,408.03/78,117.91
  6. Step 6: Final answer
    x = 47,058.37

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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.