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Finding the Fourth Proportional to 101,904.28, 140,696.50 and 77,988.28

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Solution

The fourth proportional to 101,904.28, 140,696.50 and 77,988.28 is: 107,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,904.28 : 140,696.50 = 77,988.28 : x
  2. Step 2: Convert to fraction form
    101,904.28/140,696.50 = 77,988.28/x
  3. Step 3: Cross multiply
    101,904.28x = 140,696.50 × 77,988.28
  4. Step 4: Simplify right side
    101,904.28x = 10,972,678,037.02
  5. Step 5: Solve for x
    x = 10,972,678,037.02/101,904.28
  6. Step 6: Final answer
    x = 107,676.32

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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.