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Finding the Fourth Proportional to 109,038.60, 164,300.04 and 89,749.80

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Solution

The fourth proportional to 109,038.60, 164,300.04 and 89,749.80 is: 135,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,038.60 : 164,300.04 = 89,749.80 : x
  2. Step 2: Convert to fraction form
    109,038.60/164,300.04 = 89,749.80/x
  3. Step 3: Cross multiply
    109,038.60x = 164,300.04 × 89,749.80
  4. Step 4: Simplify right side
    109,038.60x = 14,745,895,729.99
  5. Step 5: Solve for x
    x = 14,745,895,729.99/109,038.60
  6. Step 6: Final answer
    x = 135,235.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.