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Finding the Fourth Proportional to 109,969.60, 164,808.60 and 97,430.80

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Solution

The fourth proportional to 109,969.60, 164,808.60 and 97,430.80 is: 146,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,969.60 : 164,808.60 = 97,430.80 : x
  2. Step 2: Convert to fraction form
    109,969.60/164,808.60 = 97,430.80/x
  3. Step 3: Cross multiply
    109,969.60x = 164,808.60 × 97,430.80
  4. Step 4: Simplify right side
    109,969.60x = 16,057,433,744.88
  5. Step 5: Solve for x
    x = 16,057,433,744.88/109,969.60
  6. Step 6: Final answer
    x = 146,017.02

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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.