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Finding the Fourth Proportional to 109,307.90, 163,961.85 and 65,071.10

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Solution

The fourth proportional to 109,307.90, 163,961.85 and 65,071.10 is: 97,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,307.90 : 163,961.85 = 65,071.10 : x
  2. Step 2: Convert to fraction form
    109,307.90/163,961.85 = 65,071.10/x
  3. Step 3: Cross multiply
    109,307.90x = 163,961.85 × 65,071.10
  4. Step 4: Simplify right side
    109,307.90x = 10,669,177,937.54
  5. Step 5: Solve for x
    x = 10,669,177,937.54/109,307.90
  6. Step 6: Final answer
    x = 97,606.65

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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.