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Finding the Fourth Proportional to 102,431.68, 141,473.42 and 68,380.88

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Solution

The fourth proportional to 102,431.68, 141,473.42 and 68,380.88 is: 94,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,431.68 : 141,473.42 = 68,380.88 : x
  2. Step 2: Convert to fraction form
    102,431.68/141,473.42 = 68,380.88/x
  3. Step 3: Cross multiply
    102,431.68x = 141,473.42 × 68,380.88
  4. Step 4: Simplify right side
    102,431.68x = 9,674,076,956.21
  5. Step 5: Solve for x
    x = 9,674,076,956.21/102,431.68
  6. Step 6: Final answer
    x = 94,444.19

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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.