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Finding the Fourth Proportional to 137,412, 189,628.56 and 77,796

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Solution

The fourth proportional to 137,412, 189,628.56 and 77,796 is: 107,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412 : 189,628.56 = 77,796 : x
  2. Step 2: Convert to fraction form
    137,412/189,628.56 = 77,796/x
  3. Step 3: Cross multiply
    137,412x = 189,628.56 × 77,796
  4. Step 4: Simplify right side
    137,412x = 14,752,343,453.76
  5. Step 5: Solve for x
    x = 14,752,343,453.76/137,412
  6. Step 6: Final answer
    x = 107,358.48

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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.