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Finding the Fourth Proportional to 78,462, 117,718.92 and 31,689.36

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Solution

The fourth proportional to 78,462, 117,718.92 and 31,689.36 is: 47,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,462 : 117,718.92 = 31,689.36 : x
  2. Step 2: Convert to fraction form
    78,462/117,718.92 = 31,689.36/x
  3. Step 3: Cross multiply
    78,462x = 117,718.92 × 31,689.36
  4. Step 4: Simplify right side
    78,462x = 3,730,437,234.69
  5. Step 5: Solve for x
    x = 3,730,437,234.69/78,462
  6. Step 6: Final answer
    x = 47,544.51

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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.