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Finding the Fourth Proportional to 137,326, 189,512.82 and 77,710

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Solution

The fourth proportional to 137,326, 189,512.82 and 77,710 is: 107,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,326 : 189,512.82 = 77,710 : x
  2. Step 2: Convert to fraction form
    137,326/189,512.82 = 77,710/x
  3. Step 3: Cross multiply
    137,326x = 189,512.82 × 77,710
  4. Step 4: Simplify right side
    137,326x = 14,727,041,242.20
  5. Step 5: Solve for x
    x = 14,727,041,242.20/137,326
  6. Step 6: Final answer
    x = 107,241.46

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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.