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Finding the Fourth Proportional to 137,649.38, 189,970.53 and 77,236.34

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Solution

The fourth proportional to 137,649.38, 189,970.53 and 77,236.34 is: 106,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,649.38 : 189,970.53 = 77,236.34 : x
  2. Step 2: Convert to fraction form
    137,649.38/189,970.53 = 77,236.34/x
  3. Step 3: Cross multiply
    137,649.38x = 189,970.53 × 77,236.34
  4. Step 4: Simplify right side
    137,649.38x = 14,672,628,445.06
  5. Step 5: Solve for x
    x = 14,672,628,445.06/137,649.38
  6. Step 6: Final answer
    x = 106,594.22

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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.