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Finding the Fourth Proportional to 102,804.64, 141,868.56 and 58,091.68

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Solution

The fourth proportional to 102,804.64, 141,868.56 and 58,091.68 is: 80,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,804.64 : 141,868.56 = 58,091.68 : x
  2. Step 2: Convert to fraction form
    102,804.64/141,868.56 = 58,091.68/x
  3. Step 3: Cross multiply
    102,804.64x = 141,868.56 × 58,091.68
  4. Step 4: Simplify right side
    102,804.64x = 8,241,382,989.58
  5. Step 5: Solve for x
    x = 8,241,382,989.58/102,804.64
  6. Step 6: Final answer
    x = 80,165.48

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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.