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Finding the Fourth Proportional to 78,536.47, 117,804.15 and 31,788.67

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Solution

The fourth proportional to 78,536.47, 117,804.15 and 31,788.67 is: 47,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,536.47 : 117,804.15 = 31,788.67 : x
  2. Step 2: Convert to fraction form
    78,536.47/117,804.15 = 31,788.67/x
  3. Step 3: Cross multiply
    78,536.47x = 117,804.15 × 31,788.67
  4. Step 4: Simplify right side
    78,536.47x = 3,744,837,248.98
  5. Step 5: Solve for x
    x = 3,744,837,248.98/78,536.47
  6. Step 6: Final answer
    x = 47,682.78

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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.