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Finding the Fourth Proportional to 80,465.40, 120,698.10 and 47,201.40

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Solution

The fourth proportional to 80,465.40, 120,698.10 and 47,201.40 is: 70,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,465.40 : 120,698.10 = 47,201.40 : x
  2. Step 2: Convert to fraction form
    80,465.40/120,698.10 = 47,201.40/x
  3. Step 3: Cross multiply
    80,465.40x = 120,698.10 × 47,201.40
  4. Step 4: Simplify right side
    80,465.40x = 5,697,119,297.34
  5. Step 5: Solve for x
    x = 5,697,119,297.34/80,465.40
  6. Step 6: Final answer
    x = 70,802.10

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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.