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Finding the Fourth Proportional to 78,636.70, 117,953.70 and 19,472.41

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Solution

The fourth proportional to 78,636.70, 117,953.70 and 19,472.41 is: 29,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,636.70 : 117,953.70 = 19,472.41 : x
  2. Step 2: Convert to fraction form
    78,636.70/117,953.70 = 19,472.41/x
  3. Step 3: Cross multiply
    78,636.70x = 117,953.70 × 19,472.41
  4. Step 4: Simplify right side
    78,636.70x = 2,296,842,807.42
  5. Step 5: Solve for x
    x = 2,296,842,807.42/78,636.70
  6. Step 6: Final answer
    x = 29,208.28

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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.