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Finding the Fourth Proportional to 78,744.71, 117,985.56 and 55,329.23

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Solution

The fourth proportional to 78,744.71, 117,985.56 and 55,329.23 is: 82,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,744.71 : 117,985.56 = 55,329.23 : x
  2. Step 2: Convert to fraction form
    78,744.71/117,985.56 = 55,329.23/x
  3. Step 3: Cross multiply
    78,744.71x = 117,985.56 × 55,329.23
  4. Step 4: Simplify right side
    78,744.71x = 6,528,049,595.99
  5. Step 5: Solve for x
    x = 6,528,049,595.99/78,744.71
  6. Step 6: Final answer
    x = 82,901.44

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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.