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Finding the Fourth Proportional to 77,347, 106,556.70 and 72,696.88

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Solution

The fourth proportional to 77,347, 106,556.70 and 72,696.88 is: 100,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,347 : 106,556.70 = 72,696.88 : x
  2. Step 2: Convert to fraction form
    77,347/106,556.70 = 72,696.88/x
  3. Step 3: Cross multiply
    77,347x = 106,556.70 × 72,696.88
  4. Step 4: Simplify right side
    77,347x = 7,746,339,633.10
  5. Step 5: Solve for x
    x = 7,746,339,633.10/77,347
  6. Step 6: Final answer
    x = 100,150.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.