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Finding the Fourth Proportional to 109,751.90, 164,529.30 and 43,237.40

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Solution

The fourth proportional to 109,751.90, 164,529.30 and 43,237.40 is: 64,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,751.90 : 164,529.30 = 43,237.40 : x
  2. Step 2: Convert to fraction form
    109,751.90/164,529.30 = 43,237.40/x
  3. Step 3: Cross multiply
    109,751.90x = 164,529.30 × 43,237.40
  4. Step 4: Simplify right side
    109,751.90x = 7,113,819,155.82
  5. Step 5: Solve for x
    x = 7,113,819,155.82/109,751.90
  6. Step 6: Final answer
    x = 64,817.28

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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.