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Finding the Fourth Proportional to 109,307.92, 164,180.40 and 105,720.88

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Solution

The fourth proportional to 109,307.92, 164,180.40 and 105,720.88 is: 158,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,307.92 : 164,180.40 = 105,720.88 : x
  2. Step 2: Convert to fraction form
    109,307.92/164,180.40 = 105,720.88/x
  3. Step 3: Cross multiply
    109,307.92x = 164,180.40 × 105,720.88
  4. Step 4: Simplify right side
    109,307.92x = 17,357,296,366.75
  5. Step 5: Solve for x
    x = 17,357,296,366.75/109,307.92
  6. Step 6: Final answer
    x = 158,792.67

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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.