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Finding the Fourth Proportional to 116,320.78, 160,503.79 and 72,708.17

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Solution

The fourth proportional to 116,320.78, 160,503.79 and 72,708.17 is: 100,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,320.78 : 160,503.79 = 72,708.17 : x
  2. Step 2: Convert to fraction form
    116,320.78/160,503.79 = 72,708.17/x
  3. Step 3: Cross multiply
    116,320.78x = 160,503.79 × 72,708.17
  4. Step 4: Simplify right side
    116,320.78x = 11,669,936,848.96
  5. Step 5: Solve for x
    x = 11,669,936,848.96/116,320.78
  6. Step 6: Final answer
    x = 100,325.47

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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.