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Finding the Fourth Proportional to 138,957.84, 208,333.08 and 65,068.56

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Solution

The fourth proportional to 138,957.84, 208,333.08 and 65,068.56 is: 97,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,957.84 : 208,333.08 = 65,068.56 : x
  2. Step 2: Convert to fraction form
    138,957.84/208,333.08 = 65,068.56/x
  3. Step 3: Cross multiply
    138,957.84x = 208,333.08 × 65,068.56
  4. Step 4: Simplify right side
    138,957.84x = 13,555,933,515.96
  5. Step 5: Solve for x
    x = 13,555,933,515.96/138,957.84
  6. Step 6: Final answer
    x = 97,554.29

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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.