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Finding the Fourth Proportional to 78,637.52, 117,923.16 and 31,857.68

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Solution

The fourth proportional to 78,637.52, 117,923.16 and 31,857.68 is: 47,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,637.52 : 117,923.16 = 31,857.68 : x
  2. Step 2: Convert to fraction form
    78,637.52/117,923.16 = 31,857.68/x
  3. Step 3: Cross multiply
    78,637.52x = 117,923.16 × 31,857.68
  4. Step 4: Simplify right side
    78,637.52x = 3,756,758,295.87
  5. Step 5: Solve for x
    x = 3,756,758,295.87/78,637.52
  6. Step 6: Final answer
    x = 47,773.10

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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.