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Finding the Fourth Proportional to 138,962.84, 208,340.58 and 65,073.56

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Solution

The fourth proportional to 138,962.84, 208,340.58 and 65,073.56 is: 97,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,962.84 : 208,340.58 = 65,073.56 : x
  2. Step 2: Convert to fraction form
    138,962.84/208,340.58 = 65,073.56/x
  3. Step 3: Cross multiply
    138,962.84x = 208,340.58 × 65,073.56
  4. Step 4: Simplify right side
    138,962.84x = 13,557,463,233.06
  5. Step 5: Solve for x
    x = 13,557,463,233.06/138,962.84
  6. Step 6: Final answer
    x = 97,561.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.