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Finding the Fourth Proportional to 147,430.80, 220,919.40 and 109,814.40

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Solution

The fourth proportional to 147,430.80, 220,919.40 and 109,814.40 is: 164,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,430.80 : 220,919.40 = 109,814.40 : x
  2. Step 2: Convert to fraction form
    147,430.80/220,919.40 = 109,814.40/x
  3. Step 3: Cross multiply
    147,430.80x = 220,919.40 × 109,814.40
  4. Step 4: Simplify right side
    147,430.80x = 24,260,131,359.36
  5. Step 5: Solve for x
    x = 24,260,131,359.36/147,430.80
  6. Step 6: Final answer
    x = 164,552.67

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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.