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Finding the Fourth Proportional to 113,517, 170,013.06 and 109,580.40

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Solution

The fourth proportional to 113,517, 170,013.06 and 109,580.40 is: 164,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,517 : 170,013.06 = 109,580.40 : x
  2. Step 2: Convert to fraction form
    113,517/170,013.06 = 109,580.40/x
  3. Step 3: Cross multiply
    113,517x = 170,013.06 × 109,580.40
  4. Step 4: Simplify right side
    113,517x = 18,630,099,120.02
  5. Step 5: Solve for x
    x = 18,630,099,120.02/113,517
  6. Step 6: Final answer
    x = 164,117.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.