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Finding the Fourth Proportional to 109,851.80, 164,449.65 and 65,455.70

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Solution

The fourth proportional to 109,851.80, 164,449.65 and 65,455.70 is: 97,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,851.80 : 164,449.65 = 65,455.70 : x
  2. Step 2: Convert to fraction form
    109,851.80/164,449.65 = 65,455.70/x
  3. Step 3: Cross multiply
    109,851.80x = 164,449.65 × 65,455.70
  4. Step 4: Simplify right side
    109,851.80x = 10,764,166,955.51
  5. Step 5: Solve for x
    x = 10,764,166,955.51/109,851.80
  6. Step 6: Final answer
    x = 97,988.08

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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.