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Finding the Fourth Proportional to 150,187.86, 207,258.70 and 81,277.19

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Solution

The fourth proportional to 150,187.86, 207,258.70 and 81,277.19 is: 112,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,187.86 : 207,258.70 = 81,277.19 : x
  2. Step 2: Convert to fraction form
    150,187.86/207,258.70 = 81,277.19/x
  3. Step 3: Cross multiply
    150,187.86x = 207,258.70 × 81,277.19
  4. Step 4: Simplify right side
    150,187.86x = 16,845,403,499.57
  5. Step 5: Solve for x
    x = 16,845,403,499.57/150,187.86
  6. Step 6: Final answer
    x = 112,162.22

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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.