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Finding the Fourth Proportional to 102,284, 141,216.56 and 78,366.24

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Solution

The fourth proportional to 102,284, 141,216.56 and 78,366.24 is: 108,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,284 : 141,216.56 = 78,366.24 : x
  2. Step 2: Convert to fraction form
    102,284/141,216.56 = 78,366.24/x
  3. Step 3: Cross multiply
    102,284x = 141,216.56 × 78,366.24
  4. Step 4: Simplify right side
    102,284x = 11,066,610,832.93
  5. Step 5: Solve for x
    x = 11,066,610,832.93/102,284
  6. Step 6: Final answer
    x = 108,194.94

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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.