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Finding the Fourth Proportional to 137,649.78, 189,953.71 and 77,219.33

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Solution

The fourth proportional to 137,649.78, 189,953.71 and 77,219.33 is: 106,560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,649.78 : 189,953.71 = 77,219.33 : x
  2. Step 2: Convert to fraction form
    137,649.78/189,953.71 = 77,219.33/x
  3. Step 3: Cross multiply
    137,649.78x = 189,953.71 × 77,219.33
  4. Step 4: Simplify right side
    137,649.78x = 14,668,097,074.40
  5. Step 5: Solve for x
    x = 14,668,097,074.40/137,649.78
  6. Step 6: Final answer
    x = 106,560.99

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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.