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Finding the Fourth Proportional to 106,059.39, 158,742.93 and 77,972.01

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Solution

The fourth proportional to 106,059.39, 158,742.93 and 77,972.01 is: 116,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,059.39 : 158,742.93 = 77,972.01 : x
  2. Step 2: Convert to fraction form
    106,059.39/158,742.93 = 77,972.01/x
  3. Step 3: Cross multiply
    106,059.39x = 158,742.93 × 77,972.01
  4. Step 4: Simplify right side
    106,059.39x = 12,377,505,325.39
  5. Step 5: Solve for x
    x = 12,377,505,325.39/106,059.39
  6. Step 6: Final answer
    x = 116,703.53

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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.