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Finding the Fourth Proportional to 101,580.57, 140,185.39 and 56,258.58

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Solution

The fourth proportional to 101,580.57, 140,185.39 and 56,258.58 is: 77,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,580.57 : 140,185.39 = 56,258.58 : x
  2. Step 2: Convert to fraction form
    101,580.57/140,185.39 = 56,258.58/x
  3. Step 3: Cross multiply
    101,580.57x = 140,185.39 × 56,258.58
  4. Step 4: Simplify right side
    101,580.57x = 7,886,631,212.53
  5. Step 5: Solve for x
    x = 7,886,631,212.53/101,580.57
  6. Step 6: Final answer
    x = 77,639.17

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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.