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Finding the Fourth Proportional to 147,365.80, 220,821.90 and 109,749.40

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Solution

The fourth proportional to 147,365.80, 220,821.90 and 109,749.40 is: 164,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,365.80 : 220,821.90 = 109,749.40 : x
  2. Step 2: Convert to fraction form
    147,365.80/220,821.90 = 109,749.40/x
  3. Step 3: Cross multiply
    147,365.80x = 220,821.90 × 109,749.40
  4. Step 4: Simplify right side
    147,365.80x = 24,235,071,031.86
  5. Step 5: Solve for x
    x = 24,235,071,031.86/147,365.80
  6. Step 6: Final answer
    x = 164,455.19

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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.