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Finding the Fourth Proportional to 106,972.80, 160,459.20 and 64,982.40

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Solution

The fourth proportional to 106,972.80, 160,459.20 and 64,982.40 is: 97,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,972.80 : 160,459.20 = 64,982.40 : x
  2. Step 2: Convert to fraction form
    106,972.80/160,459.20 = 64,982.40/x
  3. Step 3: Cross multiply
    106,972.80x = 160,459.20 × 64,982.40
  4. Step 4: Simplify right side
    106,972.80x = 10,427,023,918.08
  5. Step 5: Solve for x
    x = 10,427,023,918.08/106,972.80
  6. Step 6: Final answer
    x = 97,473.60

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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.