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Finding the Fourth Proportional to 106,808.40, 160,212.60 and 97,131.60

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Solution

The fourth proportional to 106,808.40, 160,212.60 and 97,131.60 is: 145,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.40 : 160,212.60 = 97,131.60 : x
  2. Step 2: Convert to fraction form
    106,808.40/160,212.60 = 97,131.60/x
  3. Step 3: Cross multiply
    106,808.40x = 160,212.60 × 97,131.60
  4. Step 4: Simplify right side
    106,808.40x = 15,561,706,178.16
  5. Step 5: Solve for x
    x = 15,561,706,178.16/106,808.40
  6. Step 6: Final answer
    x = 145,697.40

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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.