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Finding the Fourth Proportional to 113,689.64, 156,892.74 and 68,369

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Solution

The fourth proportional to 113,689.64, 156,892.74 and 68,369 is: 94,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,689.64 : 156,892.74 = 68,369 : x
  2. Step 2: Convert to fraction form
    113,689.64/156,892.74 = 68,369/x
  3. Step 3: Cross multiply
    113,689.64x = 156,892.74 × 68,369
  4. Step 4: Simplify right side
    113,689.64x = 10,726,599,741.06
  5. Step 5: Solve for x
    x = 10,726,599,741.06/113,689.64
  6. Step 6: Final answer
    x = 94,349.84

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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.