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Finding the Fourth Proportional to 109,699.80, 164,549.70 and 91,985.10

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Solution

The fourth proportional to 109,699.80, 164,549.70 and 91,985.10 is: 137,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,699.80 : 164,549.70 = 91,985.10 : x
  2. Step 2: Convert to fraction form
    109,699.80/164,549.70 = 91,985.10/x
  3. Step 3: Cross multiply
    109,699.80x = 164,549.70 × 91,985.10
  4. Step 4: Simplify right side
    109,699.80x = 15,136,120,609.47
  5. Step 5: Solve for x
    x = 15,136,120,609.47/109,699.80
  6. Step 6: Final answer
    x = 137,977.65

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Similar ratio
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1.5x scale

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.